Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions. Zbl 1228.47001 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele | | 2011 |
Analysis of Dirac systems and computational algebra. Zbl 1064.30049 Colombo, Fabrizio;Sabadini, Irene;Sommen, Franciscus;Struppa, Daniele C. | | 2004 |
Slice monogenic functions. Zbl 1172.30024 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2009 |
Slice hyperholomorphic Schur analysis. Zbl 1366.30001 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2016 |
Entire slice regular functions. Zbl 1372.30001 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2016 |
A new functional calculus for noncommuting operators. Zbl 1143.47012 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2008 |
Extension results for slice regular functions of a quaternionic variable. Zbl 1179.30052 Colombo, Fabrizio;Gentili, Graziano;Sabadini, Irene;Struppa, Daniele | | 2009 |
On some properties of the quaternionic functional calculus. Zbl 1166.47018 Colombo, Fabrizio;Sabadini, Irene | | 2009 |
The Fueter mapping theorem in integral form and the \(\mathcal F\)-functional calculus. Zbl 1225.47019 Colombo, Fabrizio;Sabadini, Irene;Sommen, Frank | | 2010 |
Hermitian Clifford analysis and resolutions. Zbl 1013.30033 Sabadini, Irene;Sommen, Frank | | 2002 |
The mathematics of superoscillations. Zbl 1383.42002 Aharonov, Yakir;Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C.;Tollaksen, Jeff | | 2017 |
On the formulations of the quaternionic functional calculus. Zbl 1220.47022 Colombo, Fabrizio;Sabadini, Irene | | 2010 |
Schur functions and their realizations in the slice hyperholomorphic setting. Zbl 1258.47018 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2012 |
Some mathematical properties of superoscillations. Zbl 1230.42004 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2011 |
The Fock space in the slice hyperholomorphic setting. Zbl 1314.30092 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene;Salomon, Guy | | 2014 |
Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions. Zbl 1281.30034 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2013 |
An extension theorem for slice monogenic functions and some of its consequences. Zbl 1213.30085 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2010 |
A new resolvent equation for the \(S\)-functional calculus. Zbl 1354.47016 Alpay, Daniel;Colombo, Fabrizio;Gantner, Jonathan;Sabadini, Irene | | 2015 |
The quaternionic evolution operator. Zbl 1220.47056 Colombo, Fabrizio;Sabadini, Irene | | 2011 |
On the Cauchy problem for the Schrödinger equation with superoscillatory initial data. Zbl 1258.35172 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2013 |
The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators. Zbl 1202.47017 Colombo, Fabrizio;Sabadini, Irene | | 2011 |
A Cauchy kernel for slice regular functions. Zbl 1193.30069 Colombo, Fabrizio;Gentili, Graziano;Sabadini, Irene | | 2010 |
A structure formula for slice monogenic functions and some of its consequences. Zbl 1169.30024 Colombo, Fabrizio;Sabadini, Irene | | 2009 |
A nonconstant coefficients differential operator associated to slice monogenic functions. Zbl 1278.30047 Colombo, Fabrizio;González-Cervantes, J. Oscar;Sabadini, Irene | | 2013 |
Michele Sce’s works in hypercomplex analysis. A translation with commentaries. Zbl 1448.30001 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2020 |
Superoscillating sequences as solutions of generalized Schrödinger equations. Zbl 1304.30036 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2015 |
Explicit resolutions for the complex of several Fueter operators. Zbl 1104.30033 Bureš, Jarolim;Damiano, Alberto;Sabadini, Irene | | 2007 |
The spectral theorem for unitary operators based on the \(S\)-spectrum. Zbl 1342.35189 Alpay, Daniel;Colombo, Fabrizio;Kimsey, David P.;Sabadini, Irene | | 2016 |
Superoscillating sequences in several variables. Zbl 1345.32001 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2016 |
Regular functions of several quaternionic variables and the Cauchy-Fueter complex. Zbl 0966.35088 Adams, W. W.;Berenstein, C. A.;Loustaunau, P.;Sabadini, I.;Struppa, D. C. | | 1999 |
Non commutative functional calculus: bounded operators. Zbl 1225.47018 Colombo, Fabrizio;Gentili, Graziano;Sabadini, Irene;Struppa, Daniele C. | | 2010 |
The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators. Zbl 1350.47017 Alpay, Daniel;Colombo, Fabrizio;Qian, Tao;Sabadini, Irene | | 2016 |
Quantum harmonic oscillator with superoscillating initial datum. Zbl 1301.81054 Buniy, R. V.;Colombo, F.;Sabadini, I.;Struppa, D. C. | | 2014 |
Continuity of some operators arising in the theory of superoscillations. Zbl 1402.81167 Aoki, T.;Colombo, Fabrizio;Sabadini, Irene;Struppa, D. C. | | 2018 |
Quaternionic de Branges spaces and characteristic operator function. Zbl 1475.47001 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2020 |
Continuity theorems for a class of convolution operators and applications to superoscillations. Zbl 1411.35091 Aoki, T.;Colombo, F.;Sabadini, I.;Struppa, D. C. | | 2018 |
Perturbation of normal quaternionic operators. Zbl 07089861 Cerejeiras, Paula;Colombo, Fabrizio;Kähler, Uwe;Sabadini, Irene | | 2019 |
The inverse Fueter mapping theorem. Zbl 1258.30022 Colombo, Fabrizio;Sabadini, Irene;Sommen, Frank | | 2011 |
The C-property for slice regular functions and applications to the Bergman space. Zbl 1277.30035 Colombo, Fabrizio;González-Cervantes, J. Oscar;Sabadini, Irene | | 2013 |
The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017 Colombo, F.;Lávička, R.;Sabadini, I.;Souček, V. | | 2015 |
On two approaches to the Bergman theory for slice regular functions. Zbl 1275.30020 Colombo, Fabrizio;González-Cervantes, J. Oscar;Luna-Elizarrarás, Maria Elena;Sabadini, Irene;Shapiro, Michael | | 2013 |
Superoscillation phenomena in \(\mathrm{SO}(3)\). Zbl 1371.81196 Aharonov, Y.;Colombo, F.;Nussinov, S.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2012 |
Self-mappings of the quaternionic unit ball: multiplier properties, the Schwarz-Pick inequality, and the Nevanlinna-Pick interpolation problem. Zbl 1318.30075 Alpay, Daniel;Bolotnikov, Vladimir;Colombo, Fabrizio;Sabadini, Irene | | 2015 |
The \(\mathcal F\)-spectrum and the \(\mathcal S \mathcal C\)-functional calculus. Zbl 1256.47006 Colombo, Fabrizio;Sabadini, Irene | | 2012 |
Duality theorems for slice hyperholomorphic functions. Zbl 1204.30038 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2010 |
Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034 Gal, Sorin G.;Sabadini, Irene | | 2019 |
Krein-Langer factorization and related topics in the slice hyperholomorphic setting. Zbl 1314.47036 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2014 |
Complexes of Dirac operators in Clifford algebras. Zbl 1078.30045 Sabadini, Irene;Struppa, Daniele C.;Sommen, Frank;Van Lancker, Peter | | 2002 |
Realizations of slice hyperholomorphic generalized contractive and positive functions. Zbl 1335.47012 Alpay, Daniel;Colombo, Fabrizio;Lewkowicz, Izchak;Sabadini, Irene | | 2015 |
Classes of superoscillating functions. Zbl 1402.81122 Aharonov, Y.;Sabadini, Irene;Tollaksen, J.;Yger, A. | | 2018 |
Singularities of functions of one and several bicomplex variables. Zbl 1253.30060 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C.;Vajiac, Adrian | | 2011 |
Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011 Alpay, Daniel;Colombo, Fabrizio;Qian, Tao;Sabadini, Irene | | 2017 |
Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778 Alpay, Daniel;Colombo, Fabrizio;Qian, Tao;Sabadini, Irene | | 2017 |
A functional calculus in a noncommutative setting. Zbl 1137.47014 Colombo, Fabrizio;Gentili, Graziano;Sabadini, Irene;Struppa, Daniele C. | | 2007 |
Further properties of the Bergman spaces of slice regular functions. Zbl 1332.30073 Colombo, Fabrizio;González-Cervantes, J. Oscar;Sabadini, Irene | | 2015 |
Approximation by polynomials on quaternionic compact sets. Zbl 1348.30028 Gal, S. G.;Sabadini, I. | | 2015 |
Quaternionic Clifford analysis: the Hermitian setting. Zbl 1211.30057 Peña-Peña, Dixan;Sabadini, Irene;Sommen, Frank | | 2007 |
Evolution of superoscillatory initial data in several variables in uniform electric field. Zbl 1372.78004 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2017 |
On slice biregular functions and isomorphisms of Bergman spaces. Zbl 1251.30055 Colombo, Fabrizio;González-Cervantes, J. Oscar;Sabadini, Irene | | 2012 |
The Runge theorem for slice hyperholomorphic functions. Zbl 1220.30068 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2011 |
Quantum violation of the pigeonhole principle and the nature of quantum correlations. Zbl 1355.81029 Aharonov, Yakir;Colombo, Fabrizio;Popescu, Sandu;Sabadini, Irene;Struppa, Daniele C.;Tollaksen, Jeff | | 2016 |
On Bernstein and Erdős-Lax’s inequalities for quaternionic polynomials. (Sur les inégalités de Bernstein et de Erdős-Las pour les polynômes.) Zbl 1306.30020 Gal, Sorin G.;Sabadini, Irene | | 2015 |
Segal-Bargmann-Fock modules of monogenic functions. Zbl 1377.30043 Peña Peña, Dixan;Sabadini, Irene;Sommen, Franciscus | | 2017 |
Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2015 |
The inverse Fueter mapping theorem in integral form using spherical monogenics. Zbl 1341.30042 Colombo, Fabrizio;Sabadini, Irene;Sommen, Franciscus | | 2013 |
On slice polyanalytic functions of a quaternionic variable. Zbl 1426.30034 Alpay, Daniel;Diki, Kamal;Sabadini, Irene | | 2019 |
Bicomplex holomorphic functional calculus. Zbl 1295.30112 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2014 |
On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms. Zbl 1479.30034 Diki, Kamal;Krausshar, Rolf Sören;Sabadini, Irene | | 2019 |
Slice Dirac operator over octonions. Zbl 1479.30038 Jin, Ming;Ren, Guangbin;Sabadini, Irene | | 2020 |
Algebraic properties of the module of slice regular functions in several quaternionic variables. Zbl 1273.30038 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2012 |
Evolution of superoscillations in the Klein-Gordon field. Zbl 1442.81023 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2020 |
The \(F\)-functional calculus for unbounded operators. Zbl 1440.47010 Colombo, Fabrizio;Sabadini, Irene | | 2014 |
Superoscillating sequences and hyperfunctions. Zbl 1439.32017 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C.;Yger, Alain | | 2019 |
An extension of Herglotz’s theorem to the quaternions. Zbl 1297.30073 Alpay, Daniel;Colombo, Fabrizio;Kimsey, David P.;Sabadini, Irene | | 2015 |
A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting. Zbl 1372.81093 Muraleetharan, B.;Thirulogasanthar, K.;Sabadini, Irene | | 2017 |
Non-commutative functional calculus: unbounded operators. Zbl 1197.47030 Colombo, Fabrizio;Gentili, Graziano;Sabadini, Irene;Struppa, Daniele C. | | 2010 |
Quaternionic Hermitian spinor systems and compatibility conditions. Zbl 1235.30030 Damiano, Alberto;Eelbode, David;Sabadini, Irene | | 2011 |
Superoscillating sequences and supershifts for families of generalized functions. Zbl 1485.42004 Colombo, F.;Sabadini, I.;Struppa, D. C.;Yger, A. | | 2022 |
On the global operator and Fueter mapping theorem for slice polyanalytic functions. Zbl 1482.30116 Alpay, Daniel;Diki, Kamal;Sabadini, Irene | | 2021 |
Twisted plane wave expansions using hypercomplex methods. Zbl 1288.30051 Colombo, Fabrizio;Sabadini, Irene;Sommen, Franciscus;Struppa, Daniele C. | | 2014 |
On some operators associated to superoscillations. Zbl 1297.47095 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2013 |
Evolution of superoscillatory data. Zbl 1290.32005 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2014 |
Slice monogenic functions of a Clifford variable via the \(S\)-functional calculus. Zbl 1493.47014 Colombo, Fabrizio;Kimsey, David P.;Pinton, Stefano;Sabadini, Irene | | 2021 |
Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum. Zbl 07610105 Colombo, Fabrizio;De Martino, Antonino;Pinton, Stefano;Sabadini, Irene | | 2023 |
On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046 Gal, Sorin G.;González-Cervantes, J. Oscar;Sabadini, Irene | | 2015 |
Inner product spaces and Krein spaces in the quaternionic setting. Zbl 1376.46017 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2015 |
Polynomial approximation in slice regular Fock spaces. Zbl 1445.30024 Diki, Kamal;Gal, Sorin G.;Sabadini, Irene | | 2019 |
How superoscillating tunneling waves can overcome the step potential. Zbl 1433.35322 Aharonov, Y.;Colombo, Fabrizio;Sabadini, Irene;Struppa, D. C.;Tollaksen, J. | | 2020 |
Gauss sums, superoscillations and the Talbot carpet. Zbl 1460.35092 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C.;Yger, Alain | | 2021 |
Aharonov-Berry superoscillations in the radial harmonic oscillator potential. Zbl 07899124 Alpay, D.;Colombo, F.;Sabadini, I.;Struppa, D. C. | | 2020 |
Bicomplex hyperfunctions. Zbl 1226.30044 Colombo, F.;Sabadini, I.;Struppa, D. C.;Vajiac, A.;Vajiac, M. | | 2011 |
On the inversion of Fueter’s theorem. Zbl 1348.30027 Dong, Baohua;Kou, Kit Ian;Qian, Tao;Sabadini, Irene | | 2016 |
The Dirac complex on abstract vector variables: megaforms. Zbl 1078.30044 Sabadini, Irene;Sommen, Frank;Struppa, Daniele C. | | 2003 |
Algebraic analysis of Hermitian monogenic functions. Zbl 1135.30022 Damiano, Alberto;Eelbode, David;Sabadini, Irene | | 2008 |
Computational methods for the construction of a class of noetherian operators. Zbl 1136.13014 Damiano, Alberto;Sabadini, Irene;Struppa, Daniele C. | | 2007 |
Correction to: “On slice polyanalytic functions of a quaternionic variable”. Zbl 1465.30009 Alpay, Daniel;Diki, Kamal;Sabadini, Irene | | 2021 |
Approximation in compact balls by convolution operators of quaternion and paravector variable. Zbl 1279.30052 Gal, Sorin G.;Sabadini, Irene | | 2013 |
Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators. Zbl 1512.47026 Colombo, Fabrizio;Gantner, Jonathan;Kimsey, David P.;Sabadini, Irene | | 2022 |
On superoscillations and supershifts in several variables. Zbl 07899049 Aharonov, Y.;Colombo, F.;Jordan, A. N.;Sabadini, I.;Shushi, T.;Struppa, D. C.;Tollaksen, J. | | 2022 |
Symmetries of slice monogenic functions. Zbl 1468.30083 Colombo, Fabrizio;Kraußhar, Rolf Sören;Sabadini, Irene | | 2020 |
Octonionic monogenic and slice monogenic Hardy and Bergman spaces. Zbl 1548.30141 Colombo, Fabrizio;Kraußhar, Rolf Sören;Sabadini, Irene | | 2024 |
Entire monogenic functions of given proximate order and continuous homomorphisms. Zbl 1537.30027 Colombo, Fabrizio;Krausshar, Rolf Soeren;Pinton, Stefano;Sabadini, Irene | | 2024 |
Generalized partial-slice monogenic functions: a synthesis of two function theories. Zbl 1544.30023 Xu, Zhenghua;Sabadini, Irene | | 2024 |
Analyticity and supershift with irregular sampling. Zbl 1543.42035 Colombo, F.;Sabadini, I.;Struppa, D. C.;Yger, A. | | 2024 |
Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum. Zbl 07610105 Colombo, Fabrizio;De Martino, Antonino;Pinton, Stefano;Sabadini, Irene | | 2023 |
The \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculus. Zbl 07649355 Colombo, Fabrizio;De Martino, Antonino;Sabadini, Irene | | 2023 |
The fine structure of the spectral theory on the \(S\)-spectrum in dimension five. Zbl 1530.47004 Colombo, Fabrizio;De Martino, Antonino;Pinton, Stefano;Sabadini, Irene | | 2023 |
Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors. Zbl 1518.30017 Colombo, Fabrizio;De Martino, Antonino;Sabadini, Irene | | 2023 |
Extension theorem and representation formula in non-axially-symmetric domains for slice regular functions. Zbl 1536.30078 Dou, Xinyuan;Ren, Guangbin;Sabadini, Irene | | 2023 |
A representation formula for slice regular functions over slice-cones in several variables. Zbl 1526.30062 Dou, Xinyuan;Ren, Guangbin;Sabadini, Irene | | 2023 |
On the generating functions and special functions associated with superoscillations. Zbl 1531.81086 Colombo, F.;Krausshar, R. S.;Sabadini, I.;Simsek, Y. | | 2023 |
Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls. Zbl 1515.30090 Gal, Sorin G.;Sabadini, Irene | | 2023 |
Superoscillations and Fock spaces. Zbl 1521.30063 Alpay, Daniel;Colombo, Fabrizio;Diki, Kamal;Sabadini, Irene;Struppa, Daniele C. | | 2023 |
Hörmander’s \(L^2\)-method, \(\overline{\partial}\)-problem and polyanalytic function theory in one complex variable. Zbl 1515.30106 Alpay, Daniel;Colombo, Fabrizio;Diki, Kamal;Sabadini, Irene;Struppa, Daniele C. | | 2023 |
Quaternionic triangular linear operators. Zbl 1529.47133 Cerejeiras, Paula;Colombo, Fabrizio;Käehler, Uwe;Sabadini, Irene | | 2023 |
Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. Zbl 1531.35008
| | 2023 |
The general theory of superoscillations and supershifts in several variables. Zbl 1527.26008 Colombo, F.;Pinton, S.;Sabadini, I.;Struppa, D. C. | | 2023 |
Evolution of superoscillations for spinning particles. Zbl 1512.35017 Colombo, Fabrizio;Pozzi, Elodie;Sabadini, Irene;Wick, Brett D. | | 2023 |
Superoscillating sequences and supershifts for families of generalized functions. Zbl 1485.42004 Colombo, F.;Sabadini, I.;Struppa, D. C.;Yger, A. | | 2022 |
Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators. Zbl 1512.47026 Colombo, Fabrizio;Gantner, Jonathan;Kimsey, David P.;Sabadini, Irene | | 2022 |
On superoscillations and supershifts in several variables. Zbl 07899049 Aharonov, Y.;Colombo, F.;Jordan, A. N.;Sabadini, I.;Shushi, T.;Struppa, D. C.;Tollaksen, J. | | 2022 |
Poly slice monogenic functions, Cauchy formulas and the \(PS\)-functional calculus. Zbl 07734185 Alpay, Daniel;Colombo, Fabrizio;Diki, Kamal;Sabadini, Irene | | 2022 |
The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels. Zbl 1486.30133 Colombo, Fabrizio;De Martino, Antonino;Qian, Tao;Sabadini, Irene | | 2022 |
Fock and Hardy spaces: Clifford Appell case. Zbl 1523.30058 Alpay, Daniel;Diki, Kamal;Sabadini, Irene | | 2022 |
Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. Zbl 1503.30104 Alpay, Daniel;Colombo, Fabrizio;Diki, Kamal;Sabadini, Irene | | 2022 |
An approach to the Gaussian RBF kernels via Fock spaces. Zbl 1508.30099 Alpay, Daniel;Colombo, Fabrizio;Diki, Kamal;Sabadini, Irene | | 2022 |
Slice quaternionic analysis in two variables. Zbl 1527.30032 Dou, Xinyuan;Ren, Guangbin;Sabadini, Irene;Wang, Xieping | | 2022 |
Beurling-Lax type theorems and Cuntz relations. Zbl 1545.47058 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene;Schneider, Baruch | | 2022 |
Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces. Zbl 1526.30063 Gal, Sorin G.;Sabadini, Irene | | 2022 |
Discrete analytic functions, structured matrices and a new family of moment problems. Zbl 1502.30136 Alpay, Daniel;Colombo, Fabrizio;Diki, Kamal;Sabadini, Irene;Volok, Dan | | 2022 |
Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Zbl 1497.42002
| | 2022 |
On the global operator and Fueter mapping theorem for slice polyanalytic functions. Zbl 1482.30116 Alpay, Daniel;Diki, Kamal;Sabadini, Irene | | 2021 |
Slice monogenic functions of a Clifford variable via the \(S\)-functional calculus. Zbl 1493.47014 Colombo, Fabrizio;Kimsey, David P.;Pinton, Stefano;Sabadini, Irene | | 2021 |
Gauss sums, superoscillations and the Talbot carpet. Zbl 1460.35092 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C.;Yger, Alain | | 2021 |
Correction to: “On slice polyanalytic functions of a quaternionic variable”. Zbl 1465.30009 Alpay, Daniel;Diki, Kamal;Sabadini, Irene | | 2021 |
Infinite-order differential operators acting on entire hyperholomorphic functions. Zbl 1484.30050 Alpay, D.;Colombo, F.;Pinton, S.;Sabadini, I.;Struppa, D. C. | | 2021 |
On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis. Zbl 1475.30111 Alpay, Daniel;Colombo, Fabrizio;Diki, Kamal;Sabadini, Irene | | 2021 |
Superoscillations and analytic extension in Schur analysis. Zbl 1462.30050 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2021 |
Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions. Zbl 1482.30119 Dou, Xinyuan;Ren, Guangbin;Sabadini, Irene;Yang, Ting | | 2021 |
A new approach to slice analysis via slice topology. Zbl 1482.30118 Dou, Xinyuan;Jin, Ming;Ren, Guangbin;Sabadini, Irene | | 2021 |
Holomorphic functions, relativistic sum, Blaschke products and superoscillations. Zbl 07417889 Alpay, Daniel;Colombo, Fabrizio;Pinton, Stefano;Sabadini, Irene | | 2021 |
Michele Sce’s works in hypercomplex analysis. A translation with commentaries. Zbl 1448.30001 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2020 |
Quaternionic de Branges spaces and characteristic operator function. Zbl 1475.47001 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2020 |
Slice Dirac operator over octonions. Zbl 1479.30038 Jin, Ming;Ren, Guangbin;Sabadini, Irene | | 2020 |
Evolution of superoscillations in the Klein-Gordon field. Zbl 1442.81023 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2020 |
How superoscillating tunneling waves can overcome the step potential. Zbl 1433.35322 Aharonov, Y.;Colombo, Fabrizio;Sabadini, Irene;Struppa, D. C.;Tollaksen, J. | | 2020 |
Aharonov-Berry superoscillations in the radial harmonic oscillator potential. Zbl 07899124 Alpay, D.;Colombo, F.;Sabadini, I.;Struppa, D. C. | | 2020 |
Symmetries of slice monogenic functions. Zbl 1468.30083 Colombo, Fabrizio;Kraußhar, Rolf Sören;Sabadini, Irene | | 2020 |
Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case. Zbl 1462.47010 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2020 |
Polynomial approximation in quaternionic Bloch and Besov spaces. Zbl 1455.30039 Gal, Sorin G.;Sabadini, Irene | | 2020 |
On pseudo-spectral factorization over the complex numbers and quaternions. Zbl 1461.30111 Alpay, Daniel;Colombo, Fabrizio;Lewkowicz, Izchak;Sabadini, Irene | | 2020 |
Perturbation of normal quaternionic operators. Zbl 07089861 Cerejeiras, Paula;Colombo, Fabrizio;Kähler, Uwe;Sabadini, Irene | | 2019 |
Quaternionic approximation. With application to slice regular functions. Zbl 1432.30034 Gal, Sorin G.;Sabadini, Irene | | 2019 |
On slice polyanalytic functions of a quaternionic variable. Zbl 1426.30034 Alpay, Daniel;Diki, Kamal;Sabadini, Irene | | 2019 |
On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms. Zbl 1479.30034 Diki, Kamal;Krausshar, Rolf Sören;Sabadini, Irene | | 2019 |
Superoscillating sequences and hyperfunctions. Zbl 1439.32017 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C.;Yger, Alain | | 2019 |
Polynomial approximation in slice regular Fock spaces. Zbl 1445.30024 Diki, Kamal;Gal, Sorin G.;Sabadini, Irene | | 2019 |
The inverse Fueter mapping theorem for axially monogenic functions of degree \(k\). Zbl 1414.30050 Dong, Baohua;Kou, Kit Ian;Qian, Tao;Sabadini, Irene | | 2019 |
The Fock space as a de Branges-Rovnyak space. Zbl 1443.46017 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2019 |
Radon-type transforms for holomorphic functions in the Lie ball. Zbl 1421.30065 Sabadini, Irene;Sommen, Franciscus | | 2019 |
On the Turán inequality for quaternionic polynomials. Zbl 1427.30075 Gal, Sorin G.;Sabadini, Irene | | 2019 |
Positive and generalized positive real lemma for slice hyperholomorphic functions. Zbl 1417.30042 Alpay, Daniel;Colombo, Fabrizio;Lewkowicz, Izchak;Sabadini, Irene | | 2019 |
Continuity of some operators arising in the theory of superoscillations. Zbl 1402.81167 Aoki, T.;Colombo, Fabrizio;Sabadini, Irene;Struppa, D. C. | | 2018 |
Continuity theorems for a class of convolution operators and applications to superoscillations. Zbl 1411.35091 Aoki, T.;Colombo, F.;Sabadini, I.;Struppa, D. C. | | 2018 |
Classes of superoscillating functions. Zbl 1402.81122 Aharonov, Y.;Sabadini, Irene;Tollaksen, J.;Yger, A. | | 2018 |
S-spectrum and the quaternionic Cayley transform of an operator. Zbl 1390.81244 Muraleetharan, B.;Sabadini, I.;Thirulogasanthar, K. | | 2018 |
Approximation by polynomials in Bergman spaces of slice regular functions in the unit ball. Zbl 1388.30072 Gal, S. G.;Sabadini, I. | | 2018 |
Herglotz functions of several quaternionic variables. Zbl 1393.30037 Abu-Ghanem, Khaled;Alpay, Daniel;Colombo, Fabrizio;Lewkowicz, Izchak;Sabadini, Irene | | 2018 |
The mathematics of superoscillations. Zbl 1383.42002 Aharonov, Yakir;Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C.;Tollaksen, Jeff | | 2017 |
Adaptive orthonormal systems for matrix-valued functions. Zbl 1370.47011 Alpay, Daniel;Colombo, Fabrizio;Qian, Tao;Sabadini, Irene | | 2017 |
Adaptative decomposition: the case of the Drury-Arveson space. Zbl 06829778 Alpay, Daniel;Colombo, Fabrizio;Qian, Tao;Sabadini, Irene | | 2017 |
Evolution of superoscillatory initial data in several variables in uniform electric field. Zbl 1372.78004 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2017 |
Segal-Bargmann-Fock modules of monogenic functions. Zbl 1377.30043 Peña Peña, Dixan;Sabadini, Irene;Sommen, Franciscus | | 2017 |
A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting. Zbl 1372.81093 Muraleetharan, B.;Thirulogasanthar, K.;Sabadini, Irene | | 2017 |
On a class of quaternionic positive definite functions and their derivatives. Zbl 1361.60026 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2017 |
On some splitting properties of slice regular functions. Zbl 1375.30073 González-Cervantes, J. Oscar;Sabadini, Irene | | 2017 |
Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball. Zbl 1375.30078 Sabadini, Irene;Saracco, Alberto | | 2017 |
On the Bargmann-Radon transform in the monogenic setting. Zbl 1376.30036 Colombo, Fabrizio;Sabadini, Irene;Sommen, Franciscus | | 2017 |
Fueter’s theorem for monogenic functions in biaxial symmetric domains. Zbl 1383.30016 Peña Peña, Dixan;Sabadini, Irene;Sommen, Franciscus | | 2017 |
Beurling-Lax type theorems in the complex and quaternionic setting. Zbl 1368.47008 Alpay, Daniel;Sabadini, Irene | | 2017 |
Bernstein-type inequalities for bicomplex polynomials. Zbl 1388.30078 Sabadini, I.;Vajiac, A.;Vajiac, M. B. | | 2017 |
On two-sided monogenic functions of axial type. Zbl 1376.30038 Peña, Dixan Peña;Sabadini, Irene;Sommen, Frank | | 2017 |
On slice hyperholomorphic fractional Hardy spaces. Zbl 1383.30014 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2017 |
Slice hyperholomorphic Schur analysis. Zbl 1366.30001 Alpay, Daniel;Colombo, Fabrizio;Sabadini, Irene | | 2016 |
Entire slice regular functions. Zbl 1372.30001 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2016 |
The spectral theorem for unitary operators based on the \(S\)-spectrum. Zbl 1342.35189 Alpay, Daniel;Colombo, Fabrizio;Kimsey, David P.;Sabadini, Irene | | 2016 |
Superoscillating sequences in several variables. Zbl 1345.32001 Aharonov, Y.;Colombo, F.;Sabadini, I.;Struppa, D. C.;Tollaksen, J. | | 2016 |
The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators. Zbl 1350.47017 Alpay, Daniel;Colombo, Fabrizio;Qian, Tao;Sabadini, Irene | | 2016 |
Quantum violation of the pigeonhole principle and the nature of quantum correlations. Zbl 1355.81029 Aharonov, Yakir;Colombo, Fabrizio;Popescu, Sandu;Sabadini, Irene;Struppa, Daniele C.;Tollaksen, Jeff | | 2016 |
On the inversion of Fueter’s theorem. Zbl 1348.30027 Dong, Baohua;Kou, Kit Ian;Qian, Tao;Sabadini, Irene | | 2016 |
On the Szegő-Radon projection of monogenic functions. Zbl 1338.44003 Colombo, Fabrizio;Sabadini, Irene;Sommen, Franciscus | | 2016 |
Interpolation problems for certain classes of slice hyperholomorphic functions. Zbl 1353.30049 Alpay, Daniel;Bolotnikov, Vladimir;Colombo, Fabrizio;Sabadini, Irene | | 2016 |
Quaternion-valued positive definite functions on locally compact abelian groups and nuclear spaces. Zbl 1410.47008 Alpay, Daniel;Colombo, Fabrizio;Kimsey, David P.;Sabadini, Irene | | 2016 |
Wiener algebra for the quaternions. Zbl 1377.46034 Alpay, Daniel;Colombo, Fabrizio;Kimsey, David P.;Sabadini, Irene | | 2016 |
A Fourier-Borel transform for monogenic functionals. Zbl 1406.30018 Sabadini, Irene;Sommen, Franciscus | | 2016 |
Modern trends in hypercomplex analysis. Selected papers presented at the session on Clifford and quaternionic analysis at the 10th international ISAAC congress, University of Macau, China, August 3–8, 2015. Zbl 1359.30003
| | 2016 |
An introduction to superoscillatory sequences. Zbl 1372.32005 Colombo, Fabrizio;Sabadini, Irene;Struppa, Daniele C. | | 2016 |
Differential forms and Clifford analysis. Zbl 1388.30079 Sabadini, Irene;Sommen, Franciscus | | 2016 |
Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068 Colombo, Fabrizio;Lávička, Roman;Sabadini, Irene;Souček, Vladimír | | 2016 |
A new resolvent equation for the \(S\)-functional calculus. Zbl 1354.47016 Alpay, Daniel;Colombo, Fabrizio;Gantner, Jonathan;Sabadini, Irene | | 2015 |
...and 113 more Documents |