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## Savin, Anton Yur’evich

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 Author ID: savin.anton-yu Published as: Savin, A. Yu.; Savin, Anton; Savin, Anton Yu.; Savin, A. Yu; Savin, A.; Savin, Anton Yur’evich; Savin, Anton Yurievich External Links: MGP · ORCID · arXiv · Google Scholar · ResearchGate · Math-Net.Ru
 Documents Indexed: 79 Publications since 1997, including 3 Books Reviewing Activity: 1 Review
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#### Co-Authors

 7 single-authored 68 Sternin, Boris Yur’evich 21 Nazaikinskii, Vladimir E. 10 Schulze, Bert-Wolfgang 6 Schrohe, Elmar 1 Boltachev, A. V. 1 Izvarina, Natalia Romanovna 1 Sipailo, P. A.
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#### Serials

 23 Doklady Mathematics 10 Differential Equations 6 Journal of Mathematical Sciences (New York) 6 Sbornik: Mathematics 4 Russian Journal of Mathematical Physics 2 Mathematical Notes 2 Differential Equations 2 $$K$$-Theory 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Central European Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Differential and Integral Equations and Their Applications 1 Journal of Noncommutative Geometry 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal 1 Operator Theory: Advances and Applications 1 Frontiers in Mathematics
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#### Fields

 72 Global analysis, analysis on manifolds (58-XX) 33 Partial differential equations (35-XX) 25 Operator theory (47-XX) 19 $$K$$-theory (19-XX) 18 Functional analysis (46-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

51 Publications have been cited 184 times in 84 Documents Cited by Year
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
2008
Elliptic operators on manifolds with singularities and $$K$$-homology. Zbl 1087.58013
Savin, Anton
2005
On the index of elliptic operators on manifolds with edges. Zbl 1138.58310
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu; Schulze, B.-W.
2005
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
2006
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009
Savin, Anton; Sternin, Boris
2013
Uniformization of nonlocal elliptic operators and $$KK$$-theory. Zbl 1291.58015
Savin, A. Yu.; Sternin, B. Yu.
2013
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
1999
Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012
Savin, A. Yu.; Sternin, B. Yu.
2010
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
2014
The index defect in the theory of nonlocal problems and the $$\eta$$-invariant. Zbl 1083.58022
Savin, A. Yu.; Sternin, B. Yu.
2004
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization. Zbl 1248.47046
Savin, A. Yu.; Sternin, B. Yu.; Schrohe, E.
2011
On the index of elliptic translators. Zbl 1234.35333
Savin, A. Yu.; Sternin, B. Yu.
2011
Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014
Savin, Anton; Sternin, Boris
2005
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
2007
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
On the symbol of nonlocal operators in Sobolev spaces. Zbl 1236.58034
Savin, A. Yu.
2011
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
2015
The $$\eta$$-invariant and Pontryagin duality in $$K$$-theory. Zbl 1030.58017
Savin, A. Yu.; Sternin, B. Yu.
2002
On the index of elliptic operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. Yu
2011
Noncommutative elliptic theory. Examples. Zbl 1302.47100
Savin, A. Yu.; Sternin, B. Yu.
2010
Elliptic translators on manifolds with point singularities. Zbl 1267.35269
Savin, A. Yu.; Sternin, B. Yu.
2012
On the index of nonlocal elliptic operators for compact Lie groups. Zbl 1248.58013
Savin, Anton Yu.
2011
On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016
Savin, A. Yu.; Sternin, B. Yu.
2010
On nonlocal Sobolev problems. Zbl 1280.58015
Savin, A. Yu.; Sternin, B. Yu.
2013
Elliptic theory on manifolds with corners. II: homotopy classification and $$K$$-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
2019
Elliptic dilation-contraction problems on manifolds with boundary. $$C^*$$-theory. Zbl 06695400
Savin, A. Yu.; Sternin, B. Yu.
2016
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2006
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
2018
Elliptic operators in odd subspaces. Zbl 0981.58018
Savin, A. Yu.; Sternin, B. Yu.
2000
Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu.
2005
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006
Savin, A. Yu.; Sternin, B. Yu.
2013
The $$\eta$$ invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
2003
On the index of nonlocal elliptic operators corresponding to a nonisometric diffeomorphism. Zbl 1291.58013
Savin, A. Yu.
2011
On the index formula for an isometric diffeomorphism. Zbl 1310.58014
Savin, A. Yu; Sternin, B. Yu.; Schrohe, E.
2014
Atiyah-Bott index on stratified manifolds. Zbl 1301.58013
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
On the Poincaré isomorphism in $$K$$-theory on manifolds with edges. Zbl 1305.19003
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
Elliptic $$G$$-operators on manifolds with isolated singularities. Zbl 1456.58017
Savin, A. Yu.; Sternin, B. Yu.
2018
On the index of elliptic operators associated with a diffeomorphism of a manifold. Zbl 1235.58018
Savin, A. Yu.
2010
An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold. Zbl 1246.58017
Savin, A. Yu.; Sternin, B. Yu.
2011
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
2001
The eta-invariant and parity conditions. Zbl 1044.58027
Savin, A. Yu.; Sternin, B. Yu.
2001
Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017
Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris
2002
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
2006
On the index of nonlocal elliptic operators. Zbl 1160.58010
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2008
Uniformization of nonlocal elliptic operators and $$KK$$-theory. Zbl 1284.58013
Savin, A. Yu.; Sternin, B. Yu.
2013
Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
2005
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
1999
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
2019
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
2018
Elliptic $$G$$-operators on manifolds with isolated singularities. Zbl 1456.58017
Savin, A. Yu.; Sternin, B. Yu.
2018
Elliptic dilation-contraction problems on manifolds with boundary. $$C^*$$-theory. Zbl 06695400
Savin, A. Yu.; Sternin, B. Yu.
2016
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
2015
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
2014
On the index formula for an isometric diffeomorphism. Zbl 1310.58014
Savin, A. Yu; Sternin, B. Yu.; Schrohe, E.
2014
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009
Savin, Anton; Sternin, Boris
2013
Uniformization of nonlocal elliptic operators and $$KK$$-theory. Zbl 1291.58015
Savin, A. Yu.; Sternin, B. Yu.
2013
On nonlocal Sobolev problems. Zbl 1280.58015
Savin, A. Yu.; Sternin, B. Yu.
2013
Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006
Savin, A. Yu.; Sternin, B. Yu.
2013
Uniformization of nonlocal elliptic operators and $$KK$$-theory. Zbl 1284.58013
Savin, A. Yu.; Sternin, B. Yu.
2013
Elliptic translators on manifolds with point singularities. Zbl 1267.35269
Savin, A. Yu.; Sternin, B. Yu.
2012
Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization. Zbl 1248.47046
Savin, A. Yu.; Sternin, B. Yu.; Schrohe, E.
2011
On the index of elliptic translators. Zbl 1234.35333
Savin, A. Yu.; Sternin, B. Yu.
2011
On the symbol of nonlocal operators in Sobolev spaces. Zbl 1236.58034
Savin, A. Yu.
2011
On the index of elliptic operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. Yu
2011
On the index of nonlocal elliptic operators for compact Lie groups. Zbl 1248.58013
Savin, Anton Yu.
2011
On the index of nonlocal elliptic operators corresponding to a nonisometric diffeomorphism. Zbl 1291.58013
Savin, A. Yu.
2011
An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold. Zbl 1246.58017
Savin, A. Yu.; Sternin, B. Yu.
2011
Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012
Savin, A. Yu.; Sternin, B. Yu.
2010
Noncommutative elliptic theory. Examples. Zbl 1302.47100
Savin, A. Yu.; Sternin, B. Yu.
2010
On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016
Savin, A. Yu.; Sternin, B. Yu.
2010
Atiyah-Bott index on stratified manifolds. Zbl 1301.58013
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
On the Poincaré isomorphism in $$K$$-theory on manifolds with edges. Zbl 1305.19003
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
On the index of elliptic operators associated with a diffeomorphism of a manifold. Zbl 1235.58018
Savin, A. Yu.
2010
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
2008
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
Elliptic theory on manifolds with corners. II: homotopy classification and $$K$$-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
On the index of nonlocal elliptic operators. Zbl 1160.58010
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2008
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
2007
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
2006
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2006
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
2006
Elliptic operators on manifolds with singularities and $$K$$-homology. Zbl 1087.58013
Savin, Anton
2005
On the index of elliptic operators on manifolds with edges. Zbl 1138.58310
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu; Schulze, B.-W.
2005
Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014
Savin, Anton; Sternin, Boris
2005
Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu.
2005
Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
2005
The index defect in the theory of nonlocal problems and the $$\eta$$-invariant. Zbl 1083.58022
Savin, A. Yu.; Sternin, B. Yu.
2004
The $$\eta$$ invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
2003
The $$\eta$$-invariant and Pontryagin duality in $$K$$-theory. Zbl 1030.58017
Savin, A. Yu.; Sternin, B. Yu.
2002
Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017
Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris
2002
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
2001
The eta-invariant and parity conditions. Zbl 1044.58027
Savin, A. Yu.; Sternin, B. Yu.
2001
Elliptic operators in odd subspaces. Zbl 0981.58018
Savin, A. Yu.; Sternin, B. Yu.
2000
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
1999
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
1999
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#### Cited by 48 Authors

 35 Savin, Anton Yur’evich 29 Sternin, Boris Yur’evich 7 Lescure, Jean-Marie 7 Nazaikinskii, Vladimir E. 5 Debord, Claire 5 Schrohe, Elmar 3 Arutyunov, Andronick Aramovich 3 Schulze, Bert-Wolfgang 3 Sipailo, P. A. 3 Vasilyev, Vladimir Borisovich 2 Carrillo-Rouse, Paulo 2 Loshchenova, D. A. 2 Mishchenko, Aleksandr Sergeevich 2 Nistor, Victor 2 Rossovskiĭ, Leonid Efimovich 2 Seiler, Jörg 2 Shao, Yuanzhen 2 Sitarz, Andrzej 2 Skandalis, Georges 1 Albin, Pierre 1 Amann, Herbert 1 Boltachev, A. V. 1 Booss-Bavnbek, Bernhelm 1 Cardona, Duván 1 Chen, Guoyuan 1 Dabrowski, Ludwik 1 Dang, T. I. 1 De Kleijn, Niek 1 Gorokhovsky, Alexander 1 Izvarina, Nataliya Romanovna 1 Khalkhali, Masoud 1 Korovina, Mariya Viktorovna 1 Krainer, Thomas 1 Lesch, Matthias 1 Lim, Johnny 1 Magnot, Jean-Pierre 1 Manuĭlov, Vladimir Markovich 1 Melrose, Richard Burt 1 Monthubert, Bertrand 1 Nest, Ryszard 1 Nguyen, L. L. 1 Rochon, Frédéric 1 Rouse, Paulo Carillo 1 So, Bing Kwan 1 Troitskiĭ, Evgeniĭ Vadimovich 1 Vassout, Stéphane 1 Warren, Aaron R. 1 Zhu, Chaofeng
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#### Cited in 36 Serials

 13 Differential Equations 10 Doklady Mathematics 7 Journal of Mathematical Sciences (New York) 6 Russian Journal of Mathematical Physics 4 Mathematical Notes 4 Journal of Functional Analysis 2 Journal of Mathematical Physics 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Central European Journal of Mathematics 2 Journal of Pseudo-Differential Operators and Applications 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Equations 1 Results in Mathematics 1 Annals of Global Analysis and Geometry 1 $$K$$-Theory 1 Russian Mathematics 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Abstract and Applied Analysis 1 Geometry & Topology 1 Lobachevskii Journal of Mathematics 1 Journal of Evolution Equations 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Advances in High Energy Physics 1 Journal of Topology and Analysis 1 Journal of $$K$$-Theory 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal 1 Mathematics 1 Annals of $$K$$-Theory
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#### Cited in 15 Fields

 69 Global analysis, analysis on manifolds (58-XX) 38 Partial differential equations (35-XX) 21 Operator theory (47-XX) 18 $$K$$-theory (19-XX) 13 Functional analysis (46-XX) 6 Differential geometry (53-XX) 4 Topological groups, Lie groups (22-XX) 3 Quantum theory (81-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)