## Sternin, Boris Yur’evich

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 Author ID: sternin.boris-yu Published as: Sternin, B. Yu.; Sternin, Boris; Sternin, B.; Sternin, Boris Yu.; Sternin, B. Yu; Sternin, Boris Yur’evich; Sternin, B. Y. more...less Further Spellings: Стернин Борис Юрьевич External Links: MGP · Google Scholar · Math-Net.Ru
 Documents Indexed: 230 Publications since 1964, including 11 Books Biographic References: 1 Publication Co-Authors: 15 Co-Authors with 209 Joint Publications 852 Co-Co-Authors
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### Co-Authors

 21 single-authored 118 Shatalov, Victor E. 68 Savin, Anton Yur’evich 51 Nazaikinskii, Vladimir E. 35 Schulze, Bert-Wolfgang 5 Schrohe, Elmar 3 Mishchenko, Aleksandr Sergeevich 3 Savina, Tatiana V. 2 Maslov, Viktor Pavlovich 2 Novikov, Sergeĭ Petrovich 2 Zelikin, Mikhail Il’ich 1 Korovina, Mariya Viktorovna 1 Kremleva, I. V. 1 Lychagin, Valentin V. 1 Oshmyan, Victor G. 1 Shapiro, Harold Seymour
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### Serials

 38 Doklady Mathematics 24 Soviet Mathematics. Doklady 13 Differential Equations 12 Differential Equations 8 Sbornik: Mathematics 6 Mathematical Notes 6 Russian Mathematical Surveys 6 Uspekhi Matematicheskikh Nauk [N. S.] 6 Journal of Mathematical Sciences (New York) 5 Mathematics of the USSR, Sbornik 4 Mathematische Nachrichten 4 Russian Academy of Sciences. Doklady. Mathematics 3 Annals of Global Analysis and Geometry 3 Russian Journal of Mathematical Physics 3 Izvestiya: Mathematics 2 Functional Analysis and its Applications 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR. Izvestiya 2 Russian Academy of Sciences. Izvestiya. Mathematics 2 Differential and Integral Equations and Their Applications 1 Applicable Analysis 1 Moscow University Mathematics Bulletin 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Differentsial’nye Uravneniya 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 $$K$$-Theory 1 Computational Mathematics and Modeling 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Bulletin des Sciences Mathématiques 1 Abstract and Applied Analysis 1 Journal of Dynamical and Control Systems 1 Central European Journal of Mathematics 1 De Gruyter Expositions in Mathematics 1 De Gruyter Studies in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Mathematical Topics 1 Novoe v Global’nom Analize 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry 1 Pseudo-Differential Operators. Theory and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Operator Theory: Advances and Applications 1 Frontiers in Mathematics
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### Fields

 150 Global analysis, analysis on manifolds (58-XX) 133 Partial differential equations (35-XX) 53 Operator theory (47-XX) 31 Several complex variables and analytic spaces (32-XX) 21 Functional analysis (46-XX) 19 $$K$$-theory (19-XX) 13 Differential geometry (53-XX) 11 Integral transforms, operational calculus (44-XX) 10 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Quantum theory (81-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

118 Publications have been cited 474 times in 243 Documents Cited by Year
Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001
Sternin, Boris Yu.; Shatalov, Victor
1996
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
2008
Lagrangian manifolds and the Maslov operator. Transl. from the Russian by Dana Mackenzie. Zbl 0727.58001
Mishchenko, A. S.; Shatalov, V. E.; Sternin, B. Yu.
1990
Methods of noncommutative analysis: theory and applications. Zbl 0876.47015
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1995
Elliptic and parabolic problems on manifolds with a boundary consisting of components of different dimension. Zbl 0161.08504
Sternin, B. Yu.
1966
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
On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1998
On a minimal element for a family of bodies producing the same external gravitational field. Zbl 1115.86002
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
2005
Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space. Zbl 0437.58007
Mishchenko, A. S.; Sternin, B. Yu.; Shatalov, V. E.
1980
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
2014
Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1998
Traces of elliptic operators on submanifolds and $$K$$-theory. Zbl 0174.41302
Novikov, S. P.; Sternin, B. Yu.
1966
Differential equations on complex manifolds. Zbl 0818.35003
Sternin, Boris; Shatalov, Victor
1994
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
2006
On general boundary-value problems for elliptic equations. Zbl 0926.35033
Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
1998
Elliptic operators and submanifolds. Zbl 0174.41303
Novikov, S. P.; Sternin, B. Yu.
1966
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009
Savin, Anton; Sternin, Boris
2013
Fourier integral operators and the canonical operator. Zbl 0507.58043
Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E.
1981
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
2015
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
1999
Quantization methods in differential equations. Zbl 1079.81040
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y.
2002
Uniformization of nonlocal elliptic operators and $$KK$$-theory. Zbl 1291.58015
Savin, A. Yu.; Sternin, B. Yu.
2013
Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012
Savin, A. Yu.; Sternin, B. Yu.
2010
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. Zbl 1241.58012
Sternin, Boris Yu.
2011
On the reflection law for the Helmholtz equation. Zbl 0807.35024
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
1992
Relative elliptic theory and the Sobolev problem. Zbl 0882.58053
Sternin, B. Yu.; Shatalov, V. E.
1996
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1992
The index defect in the theory of nonlocal problems and the $$\eta$$-invariant. Zbl 1083.58022
Savin, A. Yu.; Sternin, B. Yu.
2004
Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014
Savin, Anton; Sternin, Boris
2005
The canonical operator (the complex case). Zbl 0303.35070
Maslov, V. P.; Sternin, B. Yu.
1973
Relative elliptic theory and the S. L. Sobolev problem. Zbl 0365.58017
Sternin, B. Yu.
1976
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Noncommutative elliptic theory. Examples. Zbl 1302.47100
Savin, A. Yu.; Sternin, B. Yu.
2010
Elliptic and parabolic problems on manifolds with a boundary consisting of components of various dimensions. Zbl 0162.15601
Sternin, B. Yu.
1966
Differential equations on complex-analytic manifolds and the canonical Maslov operator. Zbl 0663.35007
Sternin, B. Yu.; Shatalov, V. E.
1988
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
2001
Relative elliptic theory. Zbl 1090.58016
2004
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
2007
On the index of elliptic translators. Zbl 1234.35333
Savin, A. Yu.; Sternin, B. Yu.
2011
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
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
2019
The $$\eta$$-invariant and Pontryagin duality in $$K$$-theory. Zbl 1030.58017
Savin, A. Yu.; Sternin, B. Yu.
2002
On a notion of resurgent function of several variables. Zbl 0842.32006
Sternin, Boris; Shatalov, Victor
1995
An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1998
Elliptic morphisms (riggings of elliptic operators) for submanifolds with singularities. Zbl 0237.58019
Sternin, B. Yu.
1971
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; Sternin, B. Yu.
2006
On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016
Savin, A. Yu.; Sternin, B. Yu.
2010
Elliptic theory on manifolds with corners. II: homotopy classification and $$K$$-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
On nonlocal Sobolev problems. Zbl 1280.58015
Savin, A. Yu.; Sternin, B. Yu.
2013
On a system of integral equations that arises in the problem of S. L. Sobolev. Zbl 0358.35028
Zelikin, M. I.; Sternin, B. Yu.
1977
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
On the index of elliptic operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. Yu
2011
Elliptic translators on manifolds with point singularities. Zbl 1267.35269
Savin, A. Yu.; Sternin, B. Yu.
2012
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
2014
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
2018
On the confluence phenomenon for Fuchsian equations. Zbl 0943.34082
Sternin, B. Yu.; Shatalov, V. E.
1997
Nonstationary problems for Borel-Fuchs type equations. Zbl 0942.35119
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1997
The $$\eta$$ invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
2003
Resurgent analysis and differential equations with singularities. Zbl 0847.35025
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1994
On a new integral representation of ramified analytic functions. Zbl 0844.32006
Sternin, B. Yu.; Shatalov, V. E.
1994
Elliptic operators in odd subspaces. Zbl 0981.58018
Savin, A. Yu.; Sternin, B. Yu.
2000
On some global aspects of the theory of partial differential equations on manifolds with singularities. Zbl 0898.35120
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1998
Elliptic (co)boundary morphisms. Zbl 0177.37103
Sternin, B. Yu.
1967
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2006
The Laplace-Radon integral transform and its application to an inhomogeneous Cauchy problem in a complex space. Zbl 0666.44004
Sternin, B. Yu.; Shatalov, V. E.
1988
On the index formula for an isometric diffeomorphism. Zbl 1310.58014
Savin, A. Yu; Sternin, B. Yu.; Schrohe, E.
2014
Fourier-Maslov transform in the space of multivalued analytic functions. Zbl 0755.32003
Sternin, B. Yu.; Shatalov, V. E.
1991
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
2001
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
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
2006
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
2006
The smooth theory of the canonical Maslov operator on a complex Lagrangian germ. Zbl 0327.58012
Sternin, B. Yu.; Shatalov, V. E.
1974
Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006
Savin, A. Yu.; Sternin, B. Yu.
2013
Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary. Zbl 1463.58013
Savin, Anton Yur’evich; Sternin, Boris Yur’evich
2016
Elliptic dilation-contraction problems on manifolds with boundary. $$C^*$$-theory. Zbl 06695400
Savin, A. Yu.; Sternin, B. Yu.
2016
Elliptic $$G$$-operators on manifolds with isolated singularities. Zbl 1456.58017
Savin, A. Yu.; Sternin, B. Yu.
2018
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1999
Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018
Shatalov, V. E.; Sternin, B. Yu.
1998
Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017
Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris
2002
Fourier-Gauss transformation and quantization. Zbl 0866.43003
Sternin, Boris; Shatalov, Victor
1994
Reflection formulas and continuation of solutions of boundary-value problems. Zbl 1331.35101
Sternin, B. Yu.; Shatalov, V. E.
1996
Resurgent analysis in several variables. I: General theory. Zbl 0831.35021
Sternin, Boris; Shatalov, Victor
1994
Resurgent analysis in several variables. II: Applications. Zbl 0847.35019
Sternin, Boris; Shatalov, Victor
1994
An extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems. Zbl 0840.35132
Sternin, B. Yu.; Shatalov, V. E.
1994
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
1999
The Atiyah-Bott-Lefschetz fixed-point theorem in symplectic geometry. Zbl 0903.58052
Sternin, B. Yu.; Shatalov, V. E.
1996
On the solvability of multidimensional Fuchsian equations in classes of resurgent functions. Zbl 0908.35025
Sternin, B. Yu.; Shatalov, V. E.
1996
Saddle-point method and resurgent analysis. Zbl 0915.58067
Sternin, B. Yu.; Shatalov, V. E.
1997
Differential equations on manifolds with singularities in classes of resurgent functions. Zbl 0922.35035
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1998
Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
1998
Structure rings of singularities and differential equations. Zbl 0907.58067
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1997
Quasi-elliptic equations in an infinite cylinder. Zbl 0214.10602
Sternin, B. Yu.
1970
Surgery and the relative index in elliptic theory. Zbl 1001.58016
2001
Continuing solutions of elliptic equations. Zbl 0788.35030
Sternin, B. Yu.; Shatalov, V. E.
1992
Complex-analytic Cauchy problem in a bounded domain. Zbl 0704.35026
Sternin, B. Yu.; Shatalov, V. E.
1990
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
2000
A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030
Nazaikinskiĭ, V. E.; Sternin, B. Yu.
2000
The eta-invariant and parity conditions. Zbl 1044.58027
Savin, A. Yu.; Sternin, B. Yu.
2001
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 differential dilation-contraction problems on manifolds with boundary. Zbl 1373.58012
Savin, Anton Yu.; Sternin, B. Yu.
2017
Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary. Zbl 1463.58013
Savin, Anton Yur&rsquo;evich; Sternin, Boris Yur&rsquo;evich
2016
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
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; 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
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. Zbl 1241.58012
Sternin, Boris Yu.
2011
On the index of elliptic translators. Zbl 1234.35333
Savin, A. Yu.; Sternin, B. Yu.
2011
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 operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. 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
On the index of noncommutative elliptic operators over $$C^*$$-algebras. Zbl 1198.19006
Savin, A. Yu; Sternin, B. Yu
2010
Noncommutative geometry and classification of elliptic operators. Zbl 1301.58015
Nazaikinskii, V. E.; 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
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. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
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
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; 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
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
2006
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
2006
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
On a minimal element for a family of bodies producing the same external gravitational field. Zbl 1115.86002
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
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
Relative elliptic theory. Zbl 1090.58016
2004
The $$\eta$$ invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
2003
Operator algebras on manifolds with isolated singularities. Zbl 1181.35358
Nazaikinskii, V. E.; Sternin, B. Yu.
2003
On the Green operator in relative elliptic theory. Zbl 1125.58302
Nazaikinskii, V. E.; Sternin, B. Yu.
2003
Quantization methods in differential equations. Zbl 1079.81040
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y.
2002
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
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
2001
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
2001
Surgery and the relative index in elliptic theory. Zbl 1001.58016
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
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
2000
A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030
Nazaikinskiĭ, V. E.; Sternin, B. Yu.
2000
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
1999
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1999
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
1999
On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1998
Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1998
On general boundary-value problems for elliptic equations. Zbl 0926.35033
Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
1998
An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1998
On some global aspects of the theory of partial differential equations on manifolds with singularities. Zbl 0898.35120
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1998
Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018
Shatalov, V. E.; Sternin, B. Yu.
1998
Differential equations on manifolds with singularities in classes of resurgent functions. Zbl 0922.35035
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1998
Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
1998
On the confluence phenomenon for Fuchsian equations. Zbl 0943.34082
Sternin, B. Yu.; Shatalov, V. E.
1997
Nonstationary problems for Borel-Fuchs type equations. Zbl 0942.35119
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1997
Saddle-point method and resurgent analysis. Zbl 0915.58067
Sternin, B. Yu.; Shatalov, V. E.
1997
Structure rings of singularities and differential equations. Zbl 0907.58067
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1997
Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001
Sternin, Boris Yu.; Shatalov, Victor
1996
Relative elliptic theory and the Sobolev problem. Zbl 0882.58053
Sternin, B. Yu.; Shatalov, V. E.
1996
Reflection formulas and continuation of solutions of boundary-value problems. Zbl 1331.35101
Sternin, B. Yu.; Shatalov, V. E.
1996
The Atiyah-Bott-Lefschetz fixed-point theorem in symplectic geometry. Zbl 0903.58052
Sternin, B. Yu.; Shatalov, V. E.
1996
On the solvability of multidimensional Fuchsian equations in classes of resurgent functions. Zbl 0908.35025
Sternin, B. Yu.; Shatalov, V. E.
1996
Methods of noncommutative analysis: theory and applications. Zbl 0876.47015
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1995
On a notion of resurgent function of several variables. Zbl 0842.32006
Sternin, Boris; Shatalov, Victor
1995
Differential equations on complex manifolds. Zbl 0818.35003
Sternin, Boris; Shatalov, Victor
1994
Resurgent analysis and differential equations with singularities. Zbl 0847.35025
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1994
On a new integral representation of ramified analytic functions. Zbl 0844.32006
Sternin, B. Yu.; Shatalov, V. E.
1994
Fourier-Gauss transformation and quantization. Zbl 0866.43003
Sternin, Boris; Shatalov, Victor
1994
Resurgent analysis in several variables. I: General theory. Zbl 0831.35021
Sternin, Boris; Shatalov, Victor
1994
Resurgent analysis in several variables. II: Applications. Zbl 0847.35019
Sternin, Boris; Shatalov, Victor
1994
An extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems. Zbl 0840.35132
Sternin, B. Yu.; Shatalov, V. E.
1994
On the reflection law for the Helmholtz equation. Zbl 0807.35024
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
1992
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1992
Continuing solutions of elliptic equations. Zbl 0788.35030
Sternin, B. Yu.; Shatalov, V. E.
1992
On a problem of extension of the solutions for elliptic equations. Zbl 0766.35010
Sternin, B. Yu.; Shatalov, V. E.
1992
Fourier-Maslov transform in the space of multivalued analytic functions. Zbl 0755.32003
Sternin, B. Yu.; Shatalov, V. E.
1991
Continuation of solutions to elliptic equations and localization of singularities. Zbl 0803.35028
Sternin, B. Yu.; Shatalov, V. E.
1991
Lagrangian manifolds and the Maslov operator. Transl. from the Russian by Dana Mackenzie. Zbl 0727.58001
Mishchenko, A. S.; Shatalov, V. E.; Sternin, B. Yu.
1990
Complex-analytic Cauchy problem in a bounded domain. Zbl 0704.35026
Sternin, B. Yu.; Shatalov, V. E.
1990
Differential equations on complex-analytic manifolds and the canonical Maslov operator. Zbl 0663.35007
Sternin, B. Yu.; Shatalov, V. E.
1988
The Laplace-Radon integral transform and its application to an inhomogeneous Cauchy problem in a complex space. Zbl 0666.44004
Sternin, B. Yu.; Shatalov, V. E.
1988
...and 18 more Documents
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### Cited by 190 Authors

 41 Savin, Anton Yur’evich 40 Sternin, Boris Yur’evich 17 Nazaikinskii, Vladimir E. 13 Shatalov, Victor E. 12 Korovina, Mariya Viktorovna 10 Savina, Tatiana V. 9 Schrohe, Elmar 8 Schulze, Bert-Wolfgang 8 Vasilyev, Vladimir Borisovich 7 Dobrokhotov, Sergei Yurievich 6 Núñez, Carmen A. 5 Debord, Claire 5 Lescure, Jean-Marie 5 Nistor, Victor 5 Sipailo, P. A. 4 Johnson, Russell Allan 4 Maslov, Viktor Pavlovich 4 Novo, Sylvia 4 Obaya, Rafael 4 Seiler, Jörg 3 Arutyunov, Andronick Aramovich 3 Malek, Stéphane 3 Mishchenko, Aleksandr Sergeevich 3 Shafarevich, Andreĭ Igorevich 3 Zhuikov, Konstantin Nikolaevich 2 Akinyemi, Lanre 2 Anikin, A. Yu. 2 Baldare, Alexandre 2 Boltachev, A. V. 2 Boyd, John Philip 2 de Gosson, Maurice Alexis 2 Dubnov, Vladimir L. 2 Fabbri, Roberta 2 Karasev, Mikhail Vladimirovich 2 Katsnelson, Mikhail I. 2 Klevin, A. I. 2 Kulikovskiĭ, Andreĭ Gennad’evich 2 Kumar, Rakesh 2 Loshchenova, D. A. 2 Loya, Paul A. 2 Maiezza, Alessio 2 Nagaich, Rakesh Kumar 2 Nielsen, Lance 2 Qiao, Yu 2 Rani, Rachna 2 Rigat, Stéphane 2 Rossovskiĭ, Leonid Efimovich 2 Sergeev, Sergeĭ Alekseevich 2 Shamolin, Maksim Vladimirovich 2 Shao, Yuanzhen 2 Sitarz, Andrzej 2 Sjödin, Tomas 2 Skandalis, Georges 2 Smirnov, V. Yu. 2 Tirozzi, Brunello 2 Tsvetkova, Anna V. 2 Ünsal, Mithat 2 Vasquez, Juan Carlos 2 Voropaeva, G. A. 1 Aidagulov, R. R. 1 Aldawsari, Murdhy 1 Aledo, Juan Ángel 1 Amann, Herbert 1 Ammann, Bernd Eberhard 1 Antipin, Oleg 1 Argyres, Philip C. 1 Battisti, Ubertino 1 Bei, Francesco 1 Benameur, Moulay-Tahar 1 Bleher, Pavel M. 1 Booss-Bavnbek, Bernhelm 1 Brezhnev, Yurii V. 1 Capoferri, Matteo 1 Carrillo-Rouse, Paulo 1 Chang, Der-Chen E. 1 Chen, Guoyuan 1 Cherkas, S. L. 1 Coriasco, Sandro 1 Dabrowski, Ludwik 1 D’Agnolo, Andrea 1 Daletskii, Alexei 1 Dang, T. I. 1 de Hoop, Maarten V. 1 De Kleijn, Niek 1 Delabaere, Eric 1 Dines, Nicoleta 1 Drago, Nicolò 1 Duc Tai Trinh 1 Duchkov, Anton A. 1 Duggal, Krishan Lal 1 Dunne, Gerald V. 1 Ebenfelt, Peter 1 Fishman, Louis 1 Frisch, Uriel 1 Gautesen, Arthur K. 1 Getmanenko, Alexander 1 Gil, Juan B. 1 Gogna, Manish 1 Gorokhovsky, Alexander 1 Grava, Tamara ...and 90 more Authors
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### Cited in 90 Serials

 22 Differential Equations 18 Mathematical Notes 17 Doklady Mathematics 13 Journal of Mathematical Sciences (New York) 12 Russian Journal of Mathematical Physics 7 Journal of Functional Analysis 7 Journal of Soviet Mathematics 5 Lobachevskii Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 4 Theoretical and Mathematical Physics 4 Functional Analysis and its Applications 4 Journal of Differential Equations 4 Annals of Global Analysis and Geometry 4 Abstract and Applied Analysis 4 Journal of Dynamical and Control Systems 3 Journal of Mathematical Physics 3 Advances in Mathematics 3 Integral Equations and Operator Theory 3 Mathematische Nachrichten 3 Acta Applicandae Mathematicae 3 Bulletin des Sciences Mathématiques 3 Central European Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Eurasian Mathematical Journal 2 Letters in Mathematical Physics 2 Wave Motion 2 Journal of Geometry and Physics 2 Prikladnaya Matematika i Mekhanika 2 Duke Mathematical Journal 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Physica D 2 The Journal of Geometric Analysis 2 Annals of Physics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Dynamics and Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Modelling of Natural Phenomena 2 Journal of Pseudo-Differential Operators and Applications 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 International Journal of Mathematics and Mathematical Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Constructive Approximation 1 $$K$$-Theory 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Applied and Computational Harmonic Analysis 1 Advances in Applied Clifford Algebras 1 Opuscula Mathematica 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Documenta Mathematica 1 Geometry & Topology 1 Journal of High Energy Physics 1 Journal of Evolution Equations 1 Computational Methods and Function Theory 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 African Diaspora Journal of Mathematics 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in High Energy Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Analysis and Mathematical Physics 1 Journal of Mathematics 1 Mathematics 1 Annals of $$K$$-Theory
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### Cited in 46 Fields

 111 Partial differential equations (35-XX) 102 Global analysis, analysis on manifolds (58-XX) 49 Operator theory (47-XX) 31 Quantum theory (81-XX) 25 Differential geometry (53-XX) 23 Functional analysis (46-XX) 19 $$K$$-theory (19-XX) 19 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Potential theory (31-XX) 8 Fluid mechanics (76-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Mechanics of particles and systems (70-XX) 6 Integral transforms, operational calculus (44-XX) 5 Algebraic geometry (14-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)