Reduction of nonlocal pseudodifferential operators on a noncompact manifold to classical pseudodifferential operators on a double-dimensional compact manifold-Reference-Cited by-同舟云学术

Reduction of nonlocal pseudodifferential operators on a noncompact manifold to classical pseudodifferential operators on a double-dimensional compact manifold

Published:2015-03 Issue:3-4 Volume:97 Page:502-509
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Arutyunov A. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0001434615030220.pdf

Reference14 articles.

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2. M. F. Atiyah and I. M. Singer, “The index of elliptic operators on compactmanifolds,” Bull. Amer. Math. Soc. 69, 422–433 (1963).

3. A. B. Antonevich, “Elliptic pseudodifferential operators with a finite group of shifts,” Izv. Akad. Nauk SSSR Ser. Mat. 37 (3), 663–675 (1973) [Math. USSR-Izv. 37 (3), 661–674 (1973)].

4. V. E. Nazaikinskii, A. Yu. Savin, and B. Yu. Sternin, Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators, in Oper. Theory Adv. Appl. (Birkhäuser Verlag, Basel, 2008), Vol. 183.

5. A. A. Arutyunov and A. S. Mishchenko, “Reduction of PDO calculus on a noncompact manifold to a double-dimensional compact manifold,” Dokl. Ross. Akad. Nauk 451 (4), 369–373 (2013) [Dokl. Math. 88 (1), 427–430 (2013)].

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