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Sternin, Boris Yur’evich

Author ID: sternin.boris-yu Recent zbMATH articles by "Sternin, Boris Yur’evich"
Published as: Sternin, B. Yu.; Sternin, Boris; Sternin, B.; Sternin, Boris Yu.; Sternin, B. Yu; Sternin, Boris Yur’evich; Sternin, B. Y.
Further Spellings: Стернин Борис Юрьевич
External Links: MGP · Google Scholar · Math-Net.Ru
Documents Indexed: 236 Publications since 1964, including 11 Books and 5 Additional arXiv Preprints
Biographic References: 1 Publication
Co-Authors: 18 Co-Authors with 215 Joint Publications
922 Co-Co-Authors
all top 5

Serials

38 Doklady Mathematics
24 Soviet Mathematics. Doklady
13 Differential Equations
12 Differential Equations
8 Sbornik: Mathematics
7 Journal of Mathematical Sciences (New York)
6 Mathematical Notes
6 Russian Mathematical Surveys
6 Uspekhi Matematicheskikh Nauk [N. S.]
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

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 594 times in 291 Documents Cited by Year
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
36
2008
Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001
Sternin, Boris Yu.; Shatalov, Victor
32
1996
Methods of noncommutative analysis: theory and applications. Zbl 0876.47015
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu.
24
1995
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.
19
1990
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.
16
2005
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
16
2006
Elliptic and parabolic problems on manifolds with a boundary consisting of components of different dimension. Zbl 0161.08504
Sternin, B. Yu.
16
1966
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.
12
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.
12
1980
On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
11
1998
Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
11
1998
Traces of elliptic operators on submanifolds and \(K\)-theory. Zbl 0174.41302
Novikov, S. P.; Sternin, B. Yu.
11
1966
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
11
2014
Fourier integral operators and the canonical operator. Zbl 0507.58043
Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E.
10
1981
Elliptic operators and submanifolds. Zbl 0174.41303
Novikov, S. P.; Sternin, B. Yu.
10
1966
Differential equations on complex manifolds. Zbl 0818.35003
Sternin, Boris; Shatalov, Victor
10
1994
Quantization methods in differential equations. Zbl 1079.81040
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y.
10
2002
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009
Savin, Anton; Sternin, Boris
10
2013
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
10
2019
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
9
1999
On general boundary-value problems for elliptic equations. Zbl 0926.35033
Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
9
1998
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. Zbl 1241.58012
Sternin, Boris Yu.
8
2011
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
8
1992
Relative elliptic theory and the Sobolev problem. Zbl 0882.58053
Sternin, B. Yu.; Shatalov, V. E.
8
1996
Relative elliptic theory and the S. L. Sobolev problem. Zbl 0365.58017
Sternin, B. Yu.
8
1976
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
7
2001
Elliptic and parabolic problems on manifolds with a boundary consisting of components of various dimensions. Zbl 0162.15601
Sternin, B. Yu.
7
1966
Relative elliptic theory. Zbl 1090.58016
Nazaikinskii, Vladimir; Sternin, Boris
7
2004
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
7
2015
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
6
2007
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
6
2007
The index defect in the theory of nonlocal problems and the \(\eta\)-invariant. Zbl 1083.58022
Savin, A. Yu.; Sternin, B. Yu.
6
2004
On a notion of resurgent function of several variables. Zbl 0842.32006
Sternin, Boris; Shatalov, Victor
6
1995
Noncommutative elliptic theory. Examples. Zbl 1302.47100
Savin, A. Yu.; Sternin, B. Yu.
6
2010
Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012
Savin, A. Yu.; Sternin, B. Yu.
6
2010
Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1291.58015
Savin, A. Yu.; Sternin, B. Yu.
6
2013
Differential equations on complex-analytic manifolds and the canonical Maslov operator. Zbl 0663.35007
Sternin, B. Yu.; Shatalov, V. E.
5
1988
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
5
2007
Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014
Savin, Anton; Sternin, Boris
5
2005
The canonical operator (the complex case). Zbl 0303.35070
Maslov, V. P.; Sternin, B. Yu.
5
1973
On the reflection law for the Helmholtz equation. Zbl 0807.35024
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
5
1992
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
4
2008
Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
4
2008
An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
4
1998
On the index of elliptic translators. Zbl 1234.35333
Savin, A. Yu.; Sternin, B. Yu.
4
2011
On the index of elliptic operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. Yu
4
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.
4
2011
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; Sternin, B. Yu.
4
2006
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.
4
1998
Elliptic dilation-contraction problems on manifolds with boundary. \(C^*\)-theory. Zbl 06695400
Savin, A. Yu.; Sternin, B. Yu.
4
2016
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
4
2018
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
Nazaikinskii, Vladimir; Sternin, Boris
3
2006
Resurgent analysis and differential equations with singularities. Zbl 0847.35025
Schulze, B.-W.; Sternin, B.; Shatalov, V.
3
1994
Elliptic (co)boundary morphisms. Zbl 0177.37103
Sternin, B. Yu.
3
1967
Elliptic morphisms (riggings of elliptic operators) for submanifolds with singularities. Zbl 0237.58019
Sternin, B. Yu.
3
1971
On a system of integral equations that arises in the problem of S. L. Sobolev. Zbl 0358.35028
Zelikin, M. I.; Sternin, B. Yu.
3
1977
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
3
2007
The \(\eta\)-invariant and Pontryagin duality in \(K\)-theory. Zbl 1030.58017
Savin, A. Yu.; Sternin, B. Yu.
3
2002
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
3
2014
Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006
Savin, A. Yu.; Sternin, B. Yu.
3
2013
On nonlocal Sobolev problems. Zbl 1280.58015
Savin, A. Yu.; Sternin, B. Yu.
3
2013
On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016
Savin, A. Yu.; Sternin, B. Yu.
3
2010
Elliptic translators on manifolds with point singularities. Zbl 1267.35269
Savin, A. Yu.; Sternin, B. Yu.
3
2012
Elliptic \(G\)-operators on manifolds with isolated singularities. Zbl 1456.58017
Savin, A. Yu.; Sternin, B. Yu.
3
2018
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.
2
1988
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
2
2006
On a method of solving equations with simple characteristics. Zbl 0497.35090
Sternin, B. Yu.; Shatalov, V. E.
2
1983
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
1999
Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018
Shatalov, V. E.; Sternin, B. Yu.
2
1998
An extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems. Zbl 0840.35132
Sternin, B. Yu.; Shatalov, V. E.
2
1994
On a new integral representation of ramified analytic functions. Zbl 0844.32006
Sternin, B. Yu.; Shatalov, V. E.
2
1994
On the Green operator in relative elliptic theory. Zbl 1125.58302
Nazaikinskii, V. E.; Sternin, B. Yu.
2
2003
Elliptic operators in odd subspaces. Zbl 0981.58018
Savin, A. Yu.; Sternin, B. Yu.
2
2000
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
2
1999
On the confluence phenomenon for Fuchsian equations. Zbl 0943.34082
Sternin, B. Yu.; Shatalov, V. E.
2
1997
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.
2
1998
Nonstationary problems for Borel-Fuchs type equations. Zbl 0942.35119
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
1997
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
2
2001
The smooth theory of the canonical Maslov operator on a complex Lagrangian germ. Zbl 0327.58012
Sternin, B. Yu.; Shatalov, V. E.
2
1974
Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu.
2
2005
Differential equations in spaces with asymptotics on manifolds with cusp singularities. Zbl 1068.58014
Sternin, B. Yu.; Shatalov, V. E.
2
2002
Fourier-Maslov transform in the space of multivalued analytic functions. Zbl 0755.32003
Sternin, B. Yu.; Shatalov, V. E.
2
1991
Structure rings of singularities and differential equations. Zbl 0907.58067
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
1997
Index of Sobolev problems on manifolds with many-dimensional singularities. Zbl 1298.58015
Savin, A. Yu.; Sternin, B. Yu.
2
2014
On the index formula for an isometric diffeomorphism. Zbl 1310.58014
Savin, A. Yu; Sternin, B. Yu.; Schrohe, E.
2
2014
Elliptic differential dilation-contraction problems on manifolds with boundary. Zbl 1373.58012
Savin, Anton Yu.; Sternin, B. Yu.
2
2017
The \(\eta\) invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
2
2003
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2
2006
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
2
2016
Asymptotics on the whole for the characteristic Cauchy problem on a complex analytic manifold. Zbl 0482.58030
Sternin, B. Yu.; Shatalov, V. E.
1
1980
Surgery and the relative index in elliptic theory. Zbl 1001.58016
Nazaikinskii, Vladimir; Sternin, Boris
1
2001
On the solvability of multidimensional Fuchsian equations in classes of resurgent functions. Zbl 0908.35025
Sternin, B. Yu.; Shatalov, V. E.
1
1996
Resurgent analysis in several variables. I: General theory. Zbl 0831.35021
Sternin, Boris; Shatalov, Victor
1
1994
Resurgent analysis in several variables. II: Applications. Zbl 0847.35019
Sternin, Boris; Shatalov, Victor
1
1994
An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold. Zbl 1246.58017
Savin, A. Yu.; Sternin, B. Yu.
1
2011
On an integral representation and the associated transform of analytic functions of several complex variables. Zbl 0688.32006
Sternin, B. Yu.; Shatalov, V. E.
1
1988
Differential equations on manifolds with singularities in classes of resurgent functions. Zbl 0922.35035
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1
1998
Saddle-point method and resurgent analysis. Zbl 0915.58067
Sternin, B. Yu.; Shatalov, V. E.
1
1997
Operator algebras on manifolds with isolated singularities. Zbl 1181.35358
Nazaikinskii, V. E.; Sternin, B. Yu.
1
2003
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
1
2000
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
10
2019
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
4
2018
Elliptic \(G\)-operators on manifolds with isolated singularities. Zbl 1456.58017
Savin, A. Yu.; Sternin, B. Yu.
3
2018
Elliptic differential dilation-contraction problems on manifolds with boundary. Zbl 1373.58012
Savin, Anton Yu.; Sternin, B. Yu.
2
2017
Elliptic dilation-contraction problems on manifolds with boundary. \(C^*\)-theory. Zbl 06695400
Savin, A. Yu.; Sternin, B. Yu.
4
2016
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
2
2016
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
7
2015
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
11
2014
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
3
2014
Index of Sobolev problems on manifolds with many-dimensional singularities. Zbl 1298.58015
Savin, A. Yu.; Sternin, B. Yu.
2
2014
On the index formula for an isometric diffeomorphism. Zbl 1310.58014
Savin, A. Yu; Sternin, B. Yu.; Schrohe, E.
2
2014
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009
Savin, Anton; Sternin, Boris
10
2013
Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1291.58015
Savin, A. Yu.; Sternin, B. Yu.
6
2013
Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006
Savin, A. Yu.; Sternin, B. Yu.
3
2013
On nonlocal Sobolev problems. Zbl 1280.58015
Savin, A. Yu.; Sternin, B. Yu.
3
2013
Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1284.58013
Savin, A. Yu.; Sternin, B. Yu.
1
2013
Elliptic translators on manifolds with point singularities. Zbl 1267.35269
Savin, A. Yu.; Sternin, B. Yu.
3
2012
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. Zbl 1241.58012
Sternin, Boris Yu.
8
2011
On the index of elliptic translators. Zbl 1234.35333
Savin, A. Yu.; Sternin, B. Yu.
4
2011
On the index of elliptic operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. Yu
4
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.
4
2011
An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold. Zbl 1246.58017
Savin, A. Yu.; Sternin, B. Yu.
1
2011
Noncommutative elliptic theory. Examples. Zbl 1302.47100
Savin, A. Yu.; Sternin, B. Yu.
6
2010
Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012
Savin, A. Yu.; Sternin, B. Yu.
6
2010
On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016
Savin, A. Yu.; Sternin, B. Yu.
3
2010
Noncommutative geometry and classification of elliptic operators. Zbl 1301.58015
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2010
Atiyah-Bott index on stratified manifolds. Zbl 1301.58013
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2010
On the Poincaré isomorphism in \(K\)-theory on manifolds with edges. Zbl 1305.19003
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2010
On the index of noncommutative elliptic operators over \(C^*\)-algebras. Zbl 1198.19006
Savin, A. Yu; Sternin, B. Yu
1
2010
Index formulas for stratified manifolds. Zbl 1205.35351
Savin, A. Yu.; Sternin, B. Yu.
1
2010
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
36
2008
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
4
2008
Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
4
2008
On the index of nonlocal elliptic operators. Zbl 1160.58010
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2008
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
6
2007
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
6
2007
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
5
2007
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
3
2007
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
16
2006
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; Sternin, B. Yu.
4
2006
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
Nazaikinskii, Vladimir; Sternin, Boris
3
2006
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
2
2006
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2
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.
16
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.
12
2005
Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014
Savin, Anton; Sternin, Boris
5
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.
2
2005
Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
1
2005
Relative elliptic theory. Zbl 1090.58016
Nazaikinskii, Vladimir; Sternin, Boris
7
2004
The index defect in the theory of nonlocal problems and the \(\eta\)-invariant. Zbl 1083.58022
Savin, A. Yu.; Sternin, B. Yu.
6
2004
On the Green operator in relative elliptic theory. Zbl 1125.58302
Nazaikinskii, V. E.; Sternin, B. Yu.
2
2003
The \(\eta\) invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
2
2003
Operator algebras on manifolds with isolated singularities. Zbl 1181.35358
Nazaikinskii, V. E.; Sternin, B. Yu.
1
2003
Quantization methods in differential equations. Zbl 1079.81040
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y.
10
2002
The \(\eta\)-invariant and Pontryagin duality in \(K\)-theory. Zbl 1030.58017
Savin, A. Yu.; Sternin, B. Yu.
3
2002
Differential equations in spaces with asymptotics on manifolds with cusp singularities. Zbl 1068.58014
Sternin, B. Yu.; Shatalov, V. E.
2
2002
Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017
Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris
1
2002
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
7
2001
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
2
2001
Surgery and the relative index in elliptic theory. Zbl 1001.58016
Nazaikinskii, Vladimir; Sternin, Boris
1
2001
The eta-invariant and parity conditions. Zbl 1044.58027
Savin, A. Yu.; Sternin, B. Yu.
1
2001
Elliptic operators in odd subspaces. Zbl 0981.58018
Savin, A. Yu.; Sternin, B. Yu.
2
2000
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
1
2000
A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030
Nazaikinskiĭ, V. E.; Sternin, B. Yu.
1
2000
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
9
1999
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
1999
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
2
1999
On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
11
1998
Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
11
1998
On general boundary-value problems for elliptic equations. Zbl 0926.35033
Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
9
1998
An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
4
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.
4
1998
Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018
Shatalov, V. E.; Sternin, B. Yu.
2
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.
2
1998
Differential equations on manifolds with singularities in classes of resurgent functions. Zbl 0922.35035
Schulze, B.-W.; Sternin, B.; Shatalov, V.
1
1998
On the confluence phenomenon for Fuchsian equations. Zbl 0943.34082
Sternin, B. Yu.; Shatalov, V. E.
2
1997
Nonstationary problems for Borel-Fuchs type equations. Zbl 0942.35119
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
1997
Structure rings of singularities and differential equations. Zbl 0907.58067
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
1997
Saddle-point method and resurgent analysis. Zbl 0915.58067
Sternin, B. Yu.; Shatalov, V. E.
1
1997
Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001
Sternin, Boris Yu.; Shatalov, Victor
32
1996
Relative elliptic theory and the Sobolev problem. Zbl 0882.58053
Sternin, B. Yu.; Shatalov, V. E.
8
1996
On the solvability of multidimensional Fuchsian equations in classes of resurgent functions. Zbl 0908.35025
Sternin, B. Yu.; Shatalov, V. E.
1
1996
The Atiyah-Bott-Lefschetz fixed-point theorem in symplectic geometry. Zbl 0903.58052
Sternin, B. Yu.; Shatalov, V. E.
1
1996
Reflection formulas and continuation of solutions of boundary-value problems. Zbl 1331.35101
Sternin, B. Yu.; Shatalov, V. E.
1
1996
Methods of noncommutative analysis: theory and applications. Zbl 0876.47015
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu.
24
1995
On a notion of resurgent function of several variables. Zbl 0842.32006
Sternin, Boris; Shatalov, Victor
6
1995
Differential equations on complex manifolds. Zbl 0818.35003
Sternin, Boris; Shatalov, Victor
10
1994
Resurgent analysis and differential equations with singularities. Zbl 0847.35025
Schulze, B.-W.; Sternin, B.; Shatalov, V.
3
1994
An extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems. Zbl 0840.35132
Sternin, B. Yu.; Shatalov, V. E.
2
1994
On a new integral representation of ramified analytic functions. Zbl 0844.32006
Sternin, B. Yu.; Shatalov, V. E.
2
1994
Resurgent analysis in several variables. I: General theory. Zbl 0831.35021
Sternin, Boris; Shatalov, Victor
1
1994
Resurgent analysis in several variables. II: Applications. Zbl 0847.35019
Sternin, Boris; Shatalov, Victor
1
1994
Fourier-Gauss transformation and quantization. Zbl 0866.43003
Sternin, Boris; Shatalov, Victor
1
1994
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
8
1992
On the reflection law for the Helmholtz equation. Zbl 0807.35024
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
5
1992
On a problem of extension of the solutions for elliptic equations. Zbl 0766.35010
Sternin, B. Yu.; Shatalov, V. E.
1
1992
Continuing solutions of elliptic equations. Zbl 0788.35030
Sternin, B. Yu.; Shatalov, V. E.
1
1992
Fourier-Maslov transform in the space of multivalued analytic functions. Zbl 0755.32003
Sternin, B. Yu.; Shatalov, V. E.
2
1991
Continuation of solutions to elliptic equations and localization of singularities. Zbl 0803.35028
Sternin, B. Yu.; Shatalov, V. E.
1
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.
19
1990
...and 22 more Documents
all top 5

Cited by 247 Authors

53 Savin, Anton Yur’evich
42 Sternin, Boris Yur’evich
22 Nazaikinskii, Vladimir E.
13 Korovina, Mariya Viktorovna
13 Shatalov, Victor E.
10 Savina, Tatiana V.
10 Schrohe, Elmar
10 Schulze, Bert-Wolfgang
10 Vasilyev, Vladimir Borisovich
9 Dobrokhotov, Sergei Yurievich
6 Boltachev, A. V.
6 Núñez Jiménez, Carmen
6 Seiler, Jörg
5 Debord, Claire
5 Lescure, Jean-Marie
5 Nistor, Victor
5 Sipailo, P. A.
4 Johnson, Russell Allan
4 Kumar, Rakesh
4 Maslov, Viktor Pavlovich
4 Novo, Sylvia
4 Obaya, Rafael
3 Anikin, A. Yu.
3 Arutyunov, Andronick Aramovich
3 Izvarina, Natalia Romanovna
3 Malek, Stéphane
3 Mishchenko, Aleksandr Sergeevich
3 Nagaich, Rakesh Kumar
3 Nepomnyashchy, Alexander A.
3 Rani, Rachna
3 Rossovskiĭ, Leonid Efimovich
3 Sergeev, Sergeĭ Alekseevich
3 Shafarevich, Andreĭ Igorevich
3 Smirnov, V. Yu.
2 Akinyemi, Lanre
2 Baldare, Alexandre
2 Boyd, John Philip
2 de Gosson, Maurice Alexis
2 Dubnov, Vladimir L.
2 Ebenfelt, Peter
2 Fabbri, Roberta
2 Gogna, Manish
2 Karasev, Mikhail Vladimirovich
2 Katsnelson, Mikhail I.
2 Kim, Byoung Soo
2 Klevin, A. I.
2 Krainer, Thomas
2 Kulikovskiĭ, Andreĭ Gennad’evich
2 Kutaiba, Shaban H.
2 Loshchenova, D. A.
2 Loya, Paul A.
2 Maiezza, Alessio
2 Minenkov, Dmitrii S.
2 Nielsen, Lance
2 Qiao, Yu
2 Rigat, Stéphane
2 Rouleux, Michel
2 Schork, Matthias
2 Shamolin, Maksim Vladimirovich
2 Shao, Yuanzhen
2 Sitarz, Andrzej
2 Sjödin, Tomas
2 Skandalis, Georges
2 Tirozzi, Brunello
2 Tsvetkova, Anna V.
2 Ünsal, Mithat
2 Vasquez, Juan Carlos
2 Voropaeva, G. A.
1 Abed, Jamil
1 Ahn, Byung Moo
1 Aidagulov, R. R.
1 Akhmet, Marat Ubaydulla
1 Albeverio, Sergio A.
1 Albin, Pierre
1 Aldawsari, Murdhy
1 Aldea, Nicoleta
1 Aledo, Juan Ángel
1 Alejaily, Ejaily Milad
1 Amann, Herbert
1 Ammann, Bernd Eberhard
1 Antipin, Oleg
1 Antonevich, Anatolij Borisovich
1 Argyres, Philip C.
1 Balogh, Ferenc N.
1 Banks, Stephen Paul
1 Battisti, Ubertino
1 Bei, Francesco
1 Bejan, Cornelia-Livia
1 Benameur, Moulay-Tahar
1 Bleher, Pavel M.
1 Booss-Bavnbek, Bernhelm
1 Borasi, Luigi M.
1 Brezhnev, Yurii V.
1 Capoferri, Matteo
1 Carrillo-Rouse, Paulo
1 Chang, Der-Chen E.
1 Chen, Guoyuan
1 Chen, Hua
1 Cherkas, Sergey L.
1 Coriasco, Sandro
...and 147 more Authors
all top 5

Cited in 108 Serials

24 Differential Equations
21 Mathematical Notes
17 Russian Journal of Mathematical Physics
17 Doklady Mathematics
15 Journal of Mathematical Sciences (New York)
9 Lobachevskii Journal of Mathematics
7 Journal of Functional Analysis
7 Journal of Soviet Mathematics
5 Theoretical and Mathematical Physics
4 Journal of Mathematical Analysis and Applications
4 Advances in Mathematics
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
4 Complex Variables and Elliptic Equations
3 Journal of Mathematical Physics
3 Integral Equations and Operator Theory
3 Mathematische Nachrichten
3 Siberian Mathematical Journal
3 Acta Applicandae Mathematicae
3 Bulletin des Sciences Mathématiques
3 Central European Journal of Mathematics
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 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 Journal of Physics A: Mathematical and Theoretical
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 Geophysical and Astrophysical Fluid Dynamics
1 General Relativity and Gravitation
1 Journal d’Analyse Mathématique
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 Demonstratio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Geometry
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 Probability Theory and Related Fields
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 Calculus of Variations and Partial Differential Equations
1 Applied and Computational Harmonic Analysis
1 Advances in Applied Clifford Algebras
1 The New York Journal of Mathematics
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 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Journal of Nonlinear Mathematical Physics
1 Journal of Evolution Equations
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Computational Methods and Function Theory
1 Journal of the Institute of Mathematics of Jussieu
1 Analysis and Applications (Singapore)
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 Noncommutative Geometry
1 Advances in High Energy Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Topology and Analysis
1 Ufimskiĭ Matematicheskiĭ Zhurnal
...and 8 more Serials
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Cited in 48 Fields

135 Partial differential equations (35-XX)
121 Global analysis, analysis on manifolds (58-XX)
60 Operator theory (47-XX)
38 Quantum theory (81-XX)
33 Differential geometry (53-XX)
24 Functional analysis (46-XX)
23 Ordinary differential equations (34-XX)
20 \(K\)-theory (19-XX)
14 Dynamical systems and ergodic theory (37-XX)
11 Potential theory (31-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Fluid mechanics (76-XX)
7 Mechanics of particles and systems (70-XX)
6 Algebraic geometry (14-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral transforms, operational calculus (44-XX)
5 Topological groups, Lie groups (22-XX)
5 Special functions (33-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Associative rings and algebras (16-XX)
4 Functions of a complex variable (30-XX)
4 Integral equations (45-XX)
4 Probability theory and stochastic processes (60-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Linear and multilinear algebra; matrix theory (15-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 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 Difference and functional equations (39-XX)
2 Sequences, series, summability (40-XX)
2 Algebraic topology (55-XX)
2 Numerical analysis (65-XX)
2 Relativity and gravitational theory (83-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-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)

Citations by Year