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Combination model of Euclidean space and difference operators.(English)Zbl 0332.58017


MSC:

58J99 Partial differential equations on manifolds; differential operators
35Q99 Partial differential equations of mathematical physics and other areas of application
35R10 Partial functional-differential equations
47B39 Linear difference operators
53C20 Global Riemannian geometry, including pinching
58A99 General theory of differentiable manifolds

Cite

References:

[1]S. Lefschetz, Algebraic Topology, American Mathematics Society (1968).
[2]A. A. Dezin, ?Method of orthogonal expansions,? Sib. Mat. Zh.,9, No. 5, 1062-1074 (1968).
[3]A. A. Dezin, ?Some models related to the Euler equations,? Diff. Urav.,6, No. 1, 17-26 (1970).
[4]S. MacLane, Homology, Springer-Verlag, Berlin (1963).
[5]J. de Rham, Differentiable Manifolds [Russian translation], IL, Moscow (1956).
[6]S. Sternberg, Lectures on Differential Geometry, Prentice-Hall (1964). ·Zbl 0129.13102
[7]K. Friedrichs, ?Differential forms on Riemannian manifolds,? Communs. Pure and Appl. Math.,8, 551-590 (1955). ·Zbl 0066.07504 ·doi:10.1002/cpa.3160080408
[8]A. A. Dezin, ?Invariant differential operators and boundary-value problems,? Tr. Matem. In-ta Akad. Nauk SSSR,68 (1962).
[9]N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields [in Russian], Gostekhizdat, Moscow (1957). ·Zbl 0088.21701
[10]A. A. Dezin, ?Natural differential operators and separation of variables,? Diff. Urav.,9, No. 1, 25-31 (1973).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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