Edit Profile (opens in new tab) Sternin, Boris Yur’evich Co-Author Distance 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: 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 Co-Authors 21 single-authored 118 Shatalov, Victor E. 74 Savin, Anton Yur’evich 53 Nazaikinskii, Vladimir E. 36 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 Loshchenova, D. A. 1 Lychagin, Valentin V. 1 Oshmyan, Victor G. 1 Poluektova, D. A. 1 Rozenblum, Grigori V. 1 Shapiro, Harold Seymour 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 all top 5 Fields 155 Global analysis, analysis on manifolds (58-XX) 135 Partial differential equations (35-XX) 54 Operator theory (47-XX) 31 Several complex variables and analytic spaces (32-XX) 23 \(K\)-theory (19-XX) 23 Functional analysis (46-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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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 all top 5 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