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Sternin, Boris Yur’evich

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Author ID: sternin.boris-yu Recent zbMATH articles by "Sternin, Boris Yur'evich"
Published as: Sternin, B.; Sternin, B. Y.; Sternin, B. Yu; Sternin, B. Yu.; Sternin, Boris; Sternin, Boris Yu.; Sternin, Boris Yur’evich
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 230 Publications since 1964, including 11 Books
all top 5

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 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

116 Publications have been cited 437 times in 231 Documents Cited by Year
Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001
Sternin, Boris Yu.; Shatalov, Victor
31
1996
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
23
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.
18
1990
Methods of noncommutative analysis: theory and applications. Zbl 0876.47015
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu.
15
1995
Elliptic and parabolic problems on manifolds with a boundary consisting of components of different dimension. Zbl 0161.08504
Sternin, B. Yu.
13
1966
Differential equations on complex manifolds. Zbl 0818.35003
Sternin, Boris; Shatalov, Victor
12
1994
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
10
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.
10
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.
10
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.
10
1980
The canonical operator (the complex case). Zbl 0303.35070
Maslov, V. P.; Sternin, B. Yu.
10
1973
On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
9
1998
Traces of elliptic operators on submanifolds and \(K\)-theory. Zbl 0174.41302
Novikov, S. P.; Sternin, B. Yu.
8
1966
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009
Savin, Anton; Sternin, Boris
7
2013
Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
7
1998
Fourier integral operators and the canonical operator. Zbl 0507.58043
Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E.
7
1981
Elliptic operators and submanifolds. Zbl 0174.41303
Novikov, S. P.; Sternin, B. Yu.
7
1966
Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1291.58015
Savin, A. Yu.; Sternin, B. Yu.
6
2013
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. Zbl 1241.58012
Sternin, Boris Yu.
6
2011
Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012
Savin, A. Yu.; Sternin, B. Yu.
6
2010
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
6
1999
On general boundary-value problems for elliptic equations. Zbl 0926.35033
Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
6
1998
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
5
2014
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
5
2007
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
5
2007
The index defect in the theory of nonlocal problems and the \(\eta\)-invariant. Zbl 1083.58022
Savin, A. Yu.; Sternin, B. Yu.
5
2004
Quantization methods in differential equations. Zbl 1079.81040
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y.
5
2002
On the reflection law for the Helmholtz equation. Zbl 0807.35024
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
5
1992
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
5
1992
On the index of elliptic translators. Zbl 1234.35333
Savin, A. Yu.; Sternin, B. Yu.
4
2011
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
4
2008
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
4
2007
Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014
Savin, Anton; Sternin, Boris
4
2005
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
4
2001
Relative elliptic theory and the Sobolev problem. Zbl 0882.58053
Sternin, B. Yu.; Shatalov, V. E.
4
1996
Differential equations on complex-analytic manifolds and the canonical Maslov operator. Zbl 0663.35007
Sternin, B. Yu.; Shatalov, V. E.
4
1988
Relative elliptic theory and the S. L. Sobolev problem. Zbl 0365.58017
Sternin, B. Yu.
4
1976
On nonlocal Sobolev problems. Zbl 1280.58015
Savin, A. Yu.; Sternin, B. Yu.
3
2013
Elliptic translators on manifolds with point singularities. Zbl 1267.35269
Savin, A. Yu.; Sternin, B. Yu.
3
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.
3
2011
On the index of elliptic operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. Yu
3
2011
Noncommutative elliptic theory. Examples. Zbl 1302.47100
Savin, A. Yu.; Sternin, B. Yu.
3
2010
On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016
Savin, A. Yu.; Sternin, B. Yu.
3
2010
Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
3
2008
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
3
2006
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; Sternin, B. Yu.
3
2006
Relative elliptic theory. Zbl 1090.58016
Nazaikinskii, Vladimir; Sternin, Boris
3
2004
The \(\eta\) invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
3
2003
The \(\eta\)-invariant and Pontryagin duality in \(K\)-theory. Zbl 1030.58017
Savin, A. Yu.; Sternin, B. Yu.
3
2002
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
3
1999
On a notion of resurgent function of several variables. Zbl 0842.32006
Sternin, Boris; Shatalov, Victor
3
1995
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
Elliptic and parabolic problems on manifolds with a boundary consisting of components of various dimensions. Zbl 0162.15601
Sternin, B. Yu.
3
1966
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
2
2019
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
2
2018
Elliptic dilation-contraction problems on manifolds with boundary. \(C^*\)-theory. Zbl 06695400
Savin, A. Yu.; Sternin, B. Yu.
2
2016
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
2
2015
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
2
2014
Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006
Savin, A. Yu.; Sternin, B. Yu.
2
2013
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2
2007
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
Nazaikinskii, Vladimir; Sternin, Boris
2
2006
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
Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017
Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris
2
2002
Elliptic operators in odd subspaces. Zbl 0981.58018
Savin, A. Yu.; Sternin, B. Yu.
2
2000
An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
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.
2
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
On a new integral representation of ramified analytic functions. Zbl 0844.32006
Sternin, B. Yu.; Shatalov, V. E.
2
1994
Resurgent analysis and differential equations with singularities. Zbl 0847.35025
Schulze, B.-W.; Sternin, B.; Shatalov, V.
2
1994
Fourier-Maslov transform in the space of multivalued analytic functions. Zbl 0755.32003
Sternin, B. Yu.; Shatalov, V. E.
2
1991
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
The smooth theory of the canonical Maslov operator on a complex Lagrangian germ. Zbl 0327.58012
Sternin, B. Yu.; Shatalov, V. E.
2
1974
Elliptic morphisms (riggings of elliptic operators) for submanifolds with singularities. Zbl 0237.58019
Sternin, B. Yu.
2
1971
Elliptic (co)boundary morphisms. Zbl 0177.37103
Sternin, B. Yu.
2
1967
Elliptic \(G\)-operators on manifolds with isolated singularities. Zbl 06976985
Savin, A. Yu.; Sternin, B. Yu.
1
2018
Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1284.58013
Savin, A. Yu.; Sternin, B. Yu.
1
2013
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 the Poincaré isomorphism in \(K\)-theory on manifolds with edges. Zbl 1305.19003
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 index of nonlocal elliptic operators. Zbl 1160.58010
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2008
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
1
2006
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
On the definition of pseudodifferential operators on manifolds with singularities. Zbl 1125.58305
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2004
Operator algebras on manifolds with isolated singularities. Zbl 1181.35358
Nazaikinskii, V. E.; Sternin, B. Yu.
1
2003
The eta-invariant and parity conditions. Zbl 1044.58027
Savin, A. Yu.; Sternin, B. Yu.
1
2001
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
1
2001
The index of Fourier integral operators on manifolds with conical singularities. Zbl 1004.58015
Nazaikinskij, V. E.; Schulze, B.-W.; Sternin, B. Yu.
1
2001
Surgery and the relative index in elliptic theory. Zbl 1001.58016
Nazaikinskii, Vladimir; Sternin, Boris
1
2001
A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030
Nazaikinskiĭ, V. E.; Sternin, B. Yu.
1
2000
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
1
2000
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1
1999
Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018
Shatalov, V. E.; Sternin, B. Yu.
1
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.
1
1998
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
Structure rings of singularities and differential equations. Zbl 0907.58067
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1
1997
Reflection formulas and continuation of solutions of boundary-value problems. Zbl 1331.35101
Sternin, B. Yu.; Shatalov, V. E.
1
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
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
2
2019
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
2
2018
Elliptic \(G\)-operators on manifolds with isolated singularities. Zbl 06976985
Savin, A. Yu.; Sternin, B. Yu.
1
2018
Elliptic dilation-contraction problems on manifolds with boundary. \(C^*\)-theory. Zbl 06695400
Savin, A. Yu.; Sternin, B. Yu.
2
2016
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
2
2015
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
5
2014
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
2
2014
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009
Savin, Anton; Sternin, Boris
7
2013
Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1291.58015
Savin, A. Yu.; Sternin, B. Yu.
6
2013
On nonlocal Sobolev problems. Zbl 1280.58015
Savin, A. Yu.; Sternin, B. Yu.
3
2013
Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006
Savin, A. Yu.; Sternin, B. Yu.
2
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.
6
2011
On the index of elliptic translators. Zbl 1234.35333
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.
3
2011
On the index of elliptic operators for the group of dilations. Zbl 1240.58017
Savin, A. Yu; Sternin, B. Yu
3
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
Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012
Savin, A. Yu.; Sternin, B. Yu.
6
2010
Noncommutative elliptic theory. Examples. Zbl 1302.47100
Savin, A. Yu.; Sternin, B. Yu.
3
2010
On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016
Savin, A. Yu.; Sternin, B. Yu.
3
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
Atiyah-Bott index on stratified manifolds. Zbl 1301.58013
Nazaikinskii, V. E.; 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.
23
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
3
2008
On the index of nonlocal elliptic operators. Zbl 1160.58010
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2008
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
5
2007
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
5
2007
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
4
2007
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2
2007
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
10
2006
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
3
2006
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; Sternin, B. Yu.
3
2006
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
Nazaikinskii, Vladimir; Sternin, Boris
2
2006
Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010
Savin, Anton; Sternin, Boris
1
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.
10
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.
10
2005
Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014
Savin, Anton; Sternin, Boris
4
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
The index defect in the theory of nonlocal problems and the \(\eta\)-invariant. Zbl 1083.58022
Savin, A. Yu.; Sternin, B. Yu.
5
2004
Relative elliptic theory. Zbl 1090.58016
Nazaikinskii, Vladimir; Sternin, Boris
3
2004
On the definition of pseudodifferential operators on manifolds with singularities. Zbl 1125.58305
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
1
2004
The \(\eta\) invariant and elliptic operators in subspaces. Zbl 1029.58016
Savin, A.; Schulze, B.-W.; Sternin, B.
3
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.
5
2002
The \(\eta\)-invariant and Pontryagin duality in \(K\)-theory. Zbl 1030.58017
Savin, A. Yu.; Sternin, B. Yu.
3
2002
Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017
Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris
2
2002
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
4
2001
The eta-invariant and parity conditions. Zbl 1044.58027
Savin, A. Yu.; Sternin, B. Yu.
1
2001
On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012
Savin, A. Yu.; Sternin, B. Yu.
1
2001
The index of Fourier integral operators on manifolds with conical singularities. Zbl 1004.58015
Nazaikinskij, V. E.; Schulze, B.-W.; Sternin, B. Yu.
1
2001
Surgery and the relative index in elliptic theory. Zbl 1001.58016
Nazaikinskii, Vladimir; Sternin, Boris
1
2001
Elliptic operators in odd subspaces. Zbl 0981.58018
Savin, A. Yu.; Sternin, B. Yu.
2
2000
A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030
Nazaikinskiĭ, V. E.; Sternin, B. Yu.
1
2000
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
1
2000
Elliptic operators in even subspaces. Zbl 0963.58008
Savin, A. Yu.; Sternin, B. Yu.
6
1999
On invariant index formulas for spectral boundary value problems. Zbl 1034.58020
Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
3
1999
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1
1999
On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
9
1998
Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
7
1998
On general boundary-value problems for elliptic equations. Zbl 0926.35033
Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
6
1998
An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
2
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.
2
1998
Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018
Shatalov, V. E.; Sternin, B. Yu.
1
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.
1
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
Saddle-point method and resurgent analysis. Zbl 0915.58067
Sternin, B. Yu.; Shatalov, V. E.
1
1997
Structure rings of singularities and differential equations. Zbl 0907.58067
Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1
1997
Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001
Sternin, Boris Yu.; Shatalov, Victor
31
1996
Relative elliptic theory and the Sobolev problem. Zbl 0882.58053
Sternin, B. Yu.; Shatalov, V. E.
4
1996
Reflection formulas and continuation of solutions of boundary-value problems. Zbl 1331.35101
Sternin, B. Yu.; Shatalov, V. E.
1
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
Analytic continuation of solutions of integral equations and localization of singularities. Zbl 0897.45001
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.
15
1995
On a notion of resurgent function of several variables. Zbl 0842.32006
Sternin, Boris; Shatalov, Victor
3
1995
Extension of solutions in domains with piecewise-analytic boundaries. Zbl 0885.35018
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
1
1995
Differential equations on complex manifolds. Zbl 0818.35003
Sternin, Boris; Shatalov, Victor
12
1994
On a new integral representation of ramified analytic functions. Zbl 0844.32006
Sternin, B. Yu.; Shatalov, V. E.
2
1994
Resurgent analysis and differential equations with singularities. Zbl 0847.35025
Schulze, B.-W.; Sternin, B.; Shatalov, V.
2
1994
Fourier-Gauss transformation and quantization. Zbl 0866.43003
Sternin, Boris; Shatalov, Victor
1
1994
An extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems. Zbl 0840.35132
Sternin, B. Yu.; Shatalov, V. E.
1
1994
Resurgent analysis in several variables. II: Applications. Zbl 0847.35019
Sternin, Boris; Shatalov, Victor
1
1994
Resurgent analysis in several variables. I: General theory. Zbl 0831.35021
Sternin, Boris; Shatalov, Victor
1
1994
On the reflection law for the Helmholtz equation. Zbl 0807.35024
Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E.
5
1992
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
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.
18
1990
Complex-analytic Cauchy problem in a bounded domain. Zbl 0704.35026
Sternin, B. Yu.; Shatalov, V. E.
1
1990
Differential equations on complex-analytic manifolds and the canonical Maslov operator. Zbl 0663.35007
Sternin, B. Yu.; Shatalov, V. E.
4
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.
2
1988
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
Characteristic Cauchy problem on a complex-analytic manifold. Zbl 0602.32007
Sternin, B. Yu.; Shatalov, V. E.
1
1984
...and 16 more Documents
all top 5

Cited by 192 Authors

40 Sternin, Boris Yur’evich
35 Savin, Anton Yur’evich
16 Nazaikinskii, Vladimir E.
13 Shatalov, Victor E.
11 Korovina, Mariya Viktorovna
10 Savina, Tatiana V.
7 Dobrokhotov, Sergei Yurievich
7 Schrohe, Elmar
7 Schulze, Bert-Wolfgang
6 Núñez, Carmen A.
6 Vasilyev, Vladimir Borisovich
5 Debord, Claire
5 Lescure, Jean-Marie
5 Nistor, Victor
4 Johnson, Russell Allan
4 Maslov, Viktor Pavlovich
4 Novo, Sylvia
4 Obaya, Rafael
4 Seiler, Jörg
4 Sipailo, P. A.
3 Arutyunov, Andronick Aramovich
3 Kulikovskiĭ, Andreĭ Gennad’evich
3 Loya, Paul A.
3 Malek, Stéphane
3 Mishchenko, Aleksandr Sergeevich
3 Nielsen, Lance
3 Shafarevich, Andreĭ Igorevich
3 Ünsal, Mithat
2 Akinyemi, Lanre
2 Anikin, A. Yu.
2 Boyd, John Philip
2 de Gosson, Maurice Alexis
2 Delabaere, Eric
2 Dubnov, Vladimir L.
2 Dunne, Gerald V.
2 Fabbri, Roberta
2 Jefferies, Brian R. F.
2 Johnson, Gerald W.
2 Karasev, Mikhail Vladimirovich
2 Katsnelson, Mikhail I.
2 Kumar, Rakesh
2 Loshchenova, D. A.
2 Maiezza, Alessio
2 Nagaich, Rakesh Kumar
2 Nepomnyashchy, Alexander A.
2 Pham, Frédéric
2 Qiao, Yu
2 Rani, Rachna
2 Rigat, Stéphane
2 Rossovskiĭ, Leonid Efimovich
2 Shamolin, Maksim Vladimirovich
2 Shao, Yuanzhen
2 Sitarz, Andrzej
2 Sjödin, Tomas
2 Skandalis, Georges
2 Tirozzi, Brunello
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 Balogh, Ferenc N.
1 Banks, Stephen Paul
1 Battisti, Ubertino
1 Bei, Francesco
1 Benameur, Moulay-Tahar
1 Bleher, Pavel M.
1 Boltachev, A. V.
1 Booss-Bavnbek, Bernhelm
1 Borghi, Riccardo
1 Carrillo-Rouse, Paulo
1 Chacon, Rafael V. S.
1 Chen, Guoyuan
1 Chen, Hua
1 Cherkas, S. L.
1 Coriasco, Sandro
1 Czyz, Jacek
1 Dabrowski, Ludwik
1 D’Agnolo, Andrea
1 Daletskij, A. Yu.
1 Dang, T. I.
1 de Hoop, Maarten V.
1 Dines, Nicoleta
1 Duc Tai Trinh
1 Duchkov, Anton A.
1 Duggal, Krishan Lal
1 Ebenfelt, Peter
1 Fishman, Louis
1 Fomenko, Anatoliĭ Timofeevich
1 Frisch, Uriel
1 Gautesen, Arthur K.
1 Getmanenko, Alexander
1 Gil, Juan B.
1 Gogna, Manish
1 Grava, Tamara
1 Gray, W. Steven
...and 92 more Authors
all top 5

Cited in 93 Serials

22 Differential Equations
17 Doklady Mathematics
15 Mathematical Notes
10 Journal of Mathematical Sciences (New York)
8 Russian Journal of Mathematical Physics
7 Journal of Soviet Mathematics
6 Journal of Functional Analysis
5 Journal of Differential Equations
4 Journal of Applied Mathematics and Mechanics
4 Journal of Mathematical Analysis and Applications
4 Theoretical and Mathematical Physics
4 Advances in Mathematics
4 Functional Analysis and its Applications
4 Abstract and Applied Analysis
4 Journal of Dynamical and Control Systems
3 Integral Equations and Operator Theory
3 Mathematische Nachrichten
3 Acta Applicandae Mathematicae
3 Annals of Global Analysis and Geometry
3 Annals of Physics
3 Bulletin des Sciences Mathématiques
3 Journal of High Energy Physics
3 Central European Journal of Mathematics
3 Complex Variables and Elliptic Equations
2 Journal of Mathematical Physics
2 Wave Motion
2 Journal of Geometry and Physics
2 Prikladnaya Matematika i Mekhanika
2 Duke Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Siberian Mathematical Journal
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 Nonlinear Analysis. Theory, Methods & Applications
1 Classical and Quantum Gravity
1 Communications in Mathematical Physics
1 General Relativity and Gravitation
1 Journal of Engineering Mathematics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Reports on Mathematical Physics
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 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 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Physica D
1 Applied Numerical Mathematics
1 Constructive Approximation
1 \(K\)-Theory
1 Computational Mathematics and Modeling
1 The Journal of Geometric Analysis
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 Mathematical Physics, Analysis and Geometry
1 Geometry & Topology
1 Communications in Contemporary Mathematics
1 Lobachevskii Journal of Mathematics
1 Journal of Evolution Equations
1 Computational Methods and Function Theory
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 Mathematical Modelling of Natural Phenomena
1 Advances in High Energy Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Pseudo-Differential Operators and Applications
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Journal of Mathematics
1 Mathematics
1 Annals of \(K\)-Theory
all top 5

Cited in 45 Fields

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

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