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@article{CMFD_2016_59_a7, author = {A. Yu. Savin and B. Yu. Sternin}, title = {Elliptic $G$-operators on manifolds with isolated singularities}, journal = {Contemporary Mathematics. Fundamental Directions}, pages = {173--191}, publisher = {mathdoc}, volume = {59}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CMFD_2016_59_a7/} }
TY - JOUR AU - A. Yu. Savin AU - B. Yu. Sternin TI - Elliptic $G$-operators on manifolds with isolated singularities JO - Contemporary Mathematics. Fundamental Directions PY - 2016 SP - 173 EP - 191 VL - 59 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2016_59_a7/ LA - ru ID - CMFD_2016_59_a7 ER -
A. Yu. Savin; B. Yu. Sternin. Elliptic $G$-operators on manifolds with isolated singularities. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 2, Tome 59 (2016), pp. 173-191. http://geodesic.mathdoc.fr/item/CMFD_2016_59_a7/
[1] M. S. Agranovich, M. I. Vishik, “Elliptic problems with a parameter and parabolic problems of general type”, Usp. mat. nauk, 19:3 (1964), 53–161 (in Russian) | MR | Zbl
[2] V. A. Kondratiev, “Boundary-value problems for elliptic equations in domains with conical and angle points”, Tr. Mosk. Mat. ob-va, 16, 1967, 209–292 (in Russian) | MR | Zbl
[3] V. E. Nazaykinskiy, A. Yu. Savin, B. Yu. Sternin, “Pseudodifferential operators on stratified manifolds. II”, Diff. uravn., 43:5 (2007), 685–696 (in Russian) | MR | Zbl
[4] B. Yu. Sternin, Quasi-Elliptic Operators on an Infinite Cylinder, MIEM, Moscow, 1972 (in Russian)
[5] B. Yu. Sternin, Elliptic Theory on Compact Manifolds with Singularities, MIEM, Moscow, 1974 (in Russian) | MR
[6] A. Yu. Savin, “On the symbol of nonlocal operators in Sobolev spaces”, Diff. uravn., 47:6 (2011), 890–893 (in Russian) | MR | Zbl
[7] Antonevich A., Belousov M., Lebedev A., Functional differential equations, Part 1, 2, v. II, $C^*$-applications, Longman, Harlow, 1998 | Zbl
[8] Antonevich A., Lebedev A., Functional differential equations, v. I, $C^*$-theory, Longman, Harlow, 1994 | Zbl
[9] Nazaikinskii V. E., Savin A. Yu., Schulze B.-W., Sternin B. Yu., Elliptic theory on singular manifolds, CRC-Press, Boca Raton, 2005 | MR
[10] Nazaikinskii V. E., Savin A. Yu., Sternin B. Yu., Elliptic theory and noncommutative geometry, Birkhäuser, Basel, 2008 | MR | Zbl
[11] Nazaikinskii V., Savin A., Sternin B., “Elliptic theory on manifolds with corners. I. Dual manifolds and pseudodifferential operators”, $C^*$-algebras and elliptic theory, v. II, Birkhäuser, Basel, 2008, 183–206 | DOI | MR | Zbl
[12] Pedersen G. K., $C^*$-Algebras and their automorphism groups, Academic Press, London–New York, 1979 | MR
[13] Savin A. Yu., Sternin B. Yu., “Uniformization of nonlocal elliptic operators and $KK$-theory”, Russ. J. Math. Phys., 20:3 (2013), 345–359 | DOI | MR | Zbl
[14] Savin A. Yu., Sternin B. Yu., “Elliptic theory for operators associated with diffeomorphisms of smooth manifolds”, Pseudo-differential operators, generalized functions and asymptotics, Selected papers of the 8th ISAAC congress (Moscow, Russia, August 22–27, 2011), Birkhäuser, Basel, 2013, 1–26 | DOI | MR | Zbl
[15] Savin A. Yu., Sternin B. Yu., “Index of elliptic operators for diffeomorphisms of manifolds”, J. Noncommut. Geom., 8:3 (2014), 695–734 | DOI | MR | Zbl