Edit Profile Sternin, Boris Yur’evich Compute Distance To: Compute Author ID: sternin.boris-yu 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 Documents Indexed: 230 Publications since 1964, including 11 Books all top 5 Co-Authors 21 single-authored 118 Shatalov, Victor E. 68 Savin, Anton Yur’evich 51 Nazaikinskii, Vladimir E. 35 Schulze, Bert-Wolfgang 5 Schrohe, Elmar 3 Mishchenko, Aleksandr Sergeevich 3 Savina, Tatiana V. 2 Maslov, Viktor Pavlovich 2 Novikov, Sergeĭ Petrovich 2 Zelikin, Mikhail Il’ich 1 Korovina, Mariya Viktorovna 1 Kremleva, I. V. 1 Lychagin, Valentin V. 1 Oshmyan, Victor G. 1 Rozenblum, Gregory 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 6 Mathematical Notes 6 Russian Mathematical Surveys 6 Uspekhi Matematicheskikh Nauk [N. S.] 6 Journal of Mathematical Sciences (New York) 5 Mathematics of the USSR, Sbornik 4 Mathematische Nachrichten 4 Russian Academy of Sciences. Doklady. Mathematics 3 Annals of Global Analysis and Geometry 3 Russian Journal of Mathematical Physics 3 Izvestiya: Mathematics 2 Functional Analysis and its Applications 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR. Izvestiya 2 Russian Academy of Sciences. Izvestiya. Mathematics 2 Differential and Integral Equations and Their Applications 1 Applicable Analysis 1 Moscow University Mathematics Bulletin 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Differentsial’nye Uravneniya 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 \(K\)-Theory 1 Computational Mathematics and Modeling 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Bulletin des Sciences Mathématiques 1 Abstract and Applied Analysis 1 Journal of Dynamical and Control Systems 1 Central European Journal of Mathematics 1 De Gruyter Expositions in Mathematics 1 De Gruyter Studies in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Mathematical Topics 1 Novoe v Global’nom Analize 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry 1 Pseudo Differential Operators. Theory and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Operator Theory: Advances and Applications 1 Frontiers in Mathematics all top 5 Fields 149 Global analysis, analysis on manifolds (58-XX) 133 Partial differential equations (35-XX) 54 Operator theory (47-XX) 31 Several complex variables and analytic spaces (32-XX) 21 Functional analysis (46-XX) 19 \(K\)-theory (19-XX) 13 Differential geometry (53-XX) 11 Integral transforms, operational calculus (44-XX) 10 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Quantum theory (81-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 452 times in 236 Documents Cited by ▼ Year ▼ Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001Sternin, Boris Yu.; Shatalov, Victor 32 1996 Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu. 23 2008 Lagrangian manifolds and the Maslov operator. Transl. from the Russian by Dana Mackenzie. Zbl 0727.58001Mishchenko, A. S.; Shatalov, V. E.; Sternin, B. Yu. 18 1990 Methods of noncommutative analysis: theory and applications. Zbl 0876.47015Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. 16 1995 Elliptic and parabolic problems on manifolds with a boundary consisting of components of different dimension. Zbl 0161.08504Sternin, B. Yu. 13 1966 Differential equations on complex manifolds. Zbl 0818.35003Sternin, Boris; Shatalov, Victor 12 1994 Elliptic theory on singular manifolds. Zbl 1084.58007Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu. 10 2006 On the index of elliptic operators on manifolds with edges. Zbl 1138.58310Nazaikinskii, 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 1115.86002Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E. 10 2005 Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space. Zbl 0437.58007Mishchenko, A. S.; Sternin, B. Yu.; Shatalov, V. E. 10 1980 The canonical operator (the complex case). Zbl 0303.35070Maslov, V. P.; Sternin, B. Yu. 10 1973 On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 9 1998 Traces of elliptic operators on submanifolds and \(K\)-theory. Zbl 0174.41302Novikov, S. P.; Sternin, B. Yu. 9 1966 Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009Savin, Anton; Sternin, Boris 8 2013 Elliptic operators and submanifolds. Zbl 0174.41303Novikov, S. P.; Sternin, B. Yu. 8 1966 Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 7 1998 Fourier integral operators and the canonical operator. Zbl 0507.58043Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E. 7 1981 Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1291.58015Savin, A. Yu.; Sternin, B. Yu. 6 2013 On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. Zbl 1241.58012Sternin, Boris Yu. 6 2011 Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012Savin, A. Yu.; Sternin, B. Yu. 6 2010 Quantization methods in differential equations. Zbl 1079.81040Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y. 6 2002 Elliptic operators in even subspaces. Zbl 0963.58008Savin, A. Yu.; Sternin, B. Yu. 6 1999 On general boundary-value problems for elliptic equations. Zbl 0926.35033Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. 6 1998 Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010Savin, Anton; Sternin, Boris 5 2014 Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 Pseudodifferential operators on stratified manifolds. Zbl 1133.58023Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 The index defect in the theory of nonlocal problems and the \(\eta\)-invariant. Zbl 1083.58022Savin, A. Yu.; Sternin, B. Yu. 5 2004 Relative elliptic theory and the Sobolev problem. Zbl 0882.58053Sternin, B. Yu.; Shatalov, V. E. 5 1996 On the reflection law for the Helmholtz equation. Zbl 0807.35024Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E. 5 1992 Contact geometry and linear differential equations. Zbl 0813.58003Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu. 5 1992 Relative elliptic theory and the S. L. Sobolev problem. Zbl 0365.58017Sternin, B. Yu. 5 1976 Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization. Zbl 1248.47046Savin, A. Yu.; Sternin, B. Yu.; Schrohe, E. 4 2011 On the index of elliptic translators. Zbl 1234.35333Savin, A. Yu.; Sternin, B. Yu. 4 2011 Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 4 2008 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu 4 2007 Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014Savin, Anton; Sternin, Boris 4 2005 Relative elliptic theory. Zbl 1090.58016Nazaikinskii, Vladimir; Sternin, Boris 4 2004 The index locality principle in elliptic theory. Zbl 1001.58017Nazaĭkinskiĭ, V. E.; Sternin, B. Yu. 4 2001 Differential equations on complex-analytic manifolds and the canonical Maslov operator. Zbl 0663.35007Sternin, B. Yu.; Shatalov, V. E. 4 1988 Elliptic and parabolic problems on manifolds with a boundary consisting of components of various dimensions. Zbl 0162.15601Sternin, B. Yu. 4 1966 Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022Savin, A.; Schrohe, E.; Sternin, B. 3 2015 On nonlocal Sobolev problems. Zbl 1280.58015Savin, A. Yu.; Sternin, B. Yu. 3 2013 Elliptic translators on manifolds with point singularities. Zbl 1267.35269Savin, A. Yu.; Sternin, B. Yu. 3 2012 On the index of elliptic operators for the group of dilations. Zbl 1240.58017Savin, A. Yu; Sternin, B. Yu 3 2011 Noncommutative elliptic theory. Examples. Zbl 1302.47100Savin, A. Yu.; Sternin, B. Yu. 3 2010 On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016Savin, A. Yu.; Sternin, B. Yu. 3 2010 Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. Zbl 1205.58018Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 3 2008 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 3 2006 Surgery and the relative index in elliptic theory. Zbl 1133.58014Nazaikinskii, V. E.; Sternin, B. Yu. 3 2006 The \(\eta\) invariant and elliptic operators in subspaces. Zbl 1029.58016Savin, A.; Schulze, B.-W.; Sternin, B. 3 2003 The \(\eta\)-invariant and Pontryagin duality in \(K\)-theory. Zbl 1030.58017Savin, A. Yu.; Sternin, B. Yu. 3 2002 On invariant index formulas for spectral boundary value problems. Zbl 1034.58020Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. 3 1999 On a notion of resurgent function of several variables. Zbl 0842.32006Sternin, Boris; Shatalov, Victor 3 1995 On a system of integral equations that arises in the problem of S. L. Sobolev. Zbl 0358.35028Zelikin, M. I.; Sternin, B. Yu. 3 1977 Elliptic morphisms (riggings of elliptic operators) for submanifolds with singularities. Zbl 0237.58019Sternin, B. Yu. 3 1971 Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113Savin, A.; Schrohe, E.; Sternin, B. 2 2019 Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar 2 2018 Elliptic dilation-contraction problems on manifolds with boundary. \(C^*\)-theory. Zbl 06695400Savin, A. Yu.; Sternin, B. Yu. 2 2016 The localization problem in index theory of elliptic operators. Zbl 1297.58001Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris 2 2014 Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006Savin, A. Yu.; Sternin, B. Yu. 2 2013 On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 2 2007 Lefschetz theory on manifolds with singularities. Zbl 1118.58010Nazaikinskii, Vladimir; Sternin, Boris 2 2006 Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu. 2 2005 Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris 2 2002 Elliptic operators in odd subspaces. Zbl 0981.58018Savin, A. Yu.; Sternin, B. Yu. 2 2000 An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 2 1998 On some global aspects of the theory of partial differential equations on manifolds with singularities. Zbl 0898.35120Schulze, B.-W.; Sternin, B.; Shatalov, V. 2 1998 On the confluence phenomenon for Fuchsian equations. Zbl 0943.34082Sternin, B. Yu.; Shatalov, V. E. 2 1997 Nonstationary problems for Borel-Fuchs type equations. Zbl 0942.35119Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 2 1997 On a new integral representation of ramified analytic functions. Zbl 0844.32006Sternin, B. Yu.; Shatalov, V. E. 2 1994 Resurgent analysis and differential equations with singularities. Zbl 0847.35025Schulze, B.-W.; Sternin, B.; Shatalov, V. 2 1994 Fourier-Maslov transform in the space of multivalued analytic functions. Zbl 0755.32003Sternin, 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 0666.44004Sternin, B. Yu.; Shatalov, V. E. 2 1988 The smooth theory of the canonical Maslov operator on a complex Lagrangian germ. Zbl 0327.58012Sternin, B. Yu.; Shatalov, V. E. 2 1974 Elliptic (co)boundary morphisms. Zbl 0177.37103Sternin, B. Yu. 2 1967 Elliptic \(G\)-operators on manifolds with isolated singularities. Zbl 1456.58017Savin, A. Yu.; Sternin, B. Yu. 1 2018 On the index formula for an isometric diffeomorphism. Zbl 1310.58014Savin, A. Yu; Sternin, B. Yu.; Schrohe, E. 1 2014 Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1284.58013Savin, A. Yu.; Sternin, B. Yu. 1 2013 An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold. Zbl 1246.58017Savin, A. Yu.; Sternin, B. Yu. 1 2011 On the Poincaré isomorphism in \(K\)-theory on manifolds with edges. Zbl 1305.19003Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 Atiyah-Bott index on stratified manifolds. Zbl 1301.58013Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 On the index of nonlocal elliptic operators. Zbl 1160.58010Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2008 Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010Savin, Anton; Sternin, Boris 1 2006 Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. 1 2005 On the definition of pseudodifferential operators on manifolds with singularities. Zbl 1125.58305Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2004 Operator algebras on manifolds with isolated singularities. Zbl 1181.35358Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 On the Green operator in relative elliptic theory. Zbl 1125.58302Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 The eta-invariant and parity conditions. Zbl 1044.58027Savin, A. Yu.; Sternin, B. Yu. 1 2001 On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012Savin, A. Yu.; Sternin, B. Yu. 1 2001 The index of Fourier integral operators on manifolds with conical singularities. Zbl 1004.58015Nazaikinskij, V. E.; Schulze, B.-W.; Sternin, B. Yu. 1 2001 Surgery and the relative index in elliptic theory. Zbl 1001.58016Nazaikinskii, Vladimir; Sternin, Boris 1 2001 A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030Nazaikinskiĭ, V. E.; Sternin, B. Yu. 1 2000 Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014Nazaikinskij, V. E.; Sternin, B. Yu. 1 2000 The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 1 1999 Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018Shatalov, V. E.; Sternin, B. Yu. 1 1998 Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500Nazaĭkinskiĭ, 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 0922.35035Schulze, B.-W.; Sternin, B.; Shatalov, V. 1 1998 Saddle-point method and resurgent analysis. Zbl 0915.58067Sternin, B. Yu.; Shatalov, V. E. 1 1997 Structure rings of singularities and differential equations. Zbl 0907.58067Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 1 1997 Reflection formulas and continuation of solutions of boundary-value problems. Zbl 1331.35101Sternin, B. Yu.; Shatalov, V. E. 1 1996 Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113Savin, A.; Schrohe, E.; Sternin, B. 2 2019 Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar 2 2018 Elliptic \(G\)-operators on manifolds with isolated singularities. Zbl 1456.58017Savin, A. Yu.; Sternin, B. Yu. 1 2018 Elliptic dilation-contraction problems on manifolds with boundary. \(C^*\)-theory. Zbl 06695400Savin, A. Yu.; Sternin, B. Yu. 2 2016 Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022Savin, A.; Schrohe, E.; Sternin, B. 3 2015 Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010Savin, Anton; Sternin, Boris 5 2014 The localization problem in index theory of elliptic operators. Zbl 1297.58001Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris 2 2014 On the index formula for an isometric diffeomorphism. Zbl 1310.58014Savin, A. Yu; Sternin, B. Yu.; Schrohe, E. 1 2014 Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Zbl 1269.58009Savin, Anton; Sternin, Boris 8 2013 Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1291.58015Savin, A. Yu.; Sternin, B. Yu. 6 2013 On nonlocal Sobolev problems. Zbl 1280.58015Savin, A. Yu.; Sternin, B. Yu. 3 2013 Elliptic translators on manifolds with multidimensional singularities. Zbl 1274.58006Savin, A. Yu.; Sternin, B. Yu. 2 2013 Uniformization of nonlocal elliptic operators and \(KK\)-theory. Zbl 1284.58013Savin, A. Yu.; Sternin, B. Yu. 1 2013 Elliptic translators on manifolds with point singularities. Zbl 1267.35269Savin, A. Yu.; Sternin, B. Yu. 3 2012 On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. Zbl 1241.58012Sternin, Boris Yu. 6 2011 Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization. Zbl 1248.47046Savin, A. Yu.; Sternin, B. Yu.; Schrohe, E. 4 2011 On the index of elliptic translators. Zbl 1234.35333Savin, A. Yu.; Sternin, B. Yu. 4 2011 On the index of elliptic operators for the group of dilations. Zbl 1240.58017Savin, A. Yu; Sternin, B. Yu 3 2011 An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold. Zbl 1246.58017Savin, A. Yu.; Sternin, B. Yu. 1 2011 Nonlocal elliptic operators for compact Lie groups. Zbl 1213.47012Savin, A. Yu.; Sternin, B. Yu. 6 2010 Noncommutative elliptic theory. Examples. Zbl 1302.47100Savin, A. Yu.; Sternin, B. Yu. 3 2010 On the index of nonlocal elliptic operators for the group of dilations. Zbl 1213.58016Savin, A. Yu.; Sternin, B. Yu. 3 2010 On the Poincaré isomorphism in \(K\)-theory on manifolds with edges. Zbl 1305.19003Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 Atiyah-Bott index on stratified manifolds. Zbl 1301.58013Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu. 23 2008 Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 4 2008 Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. Zbl 1205.58018Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 3 2008 On the index of nonlocal elliptic operators. Zbl 1160.58010Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2008 Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 Pseudodifferential operators on stratified manifolds. Zbl 1133.58023Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu 4 2007 On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 2 2007 Elliptic theory on singular manifolds. Zbl 1084.58007Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu. 10 2006 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 3 2006 Surgery and the relative index in elliptic theory. Zbl 1133.58014Nazaikinskii, V. E.; Sternin, B. Yu. 3 2006 Lefschetz theory on manifolds with singularities. Zbl 1118.58010Nazaikinskii, Vladimir; Sternin, Boris 2 2006 Pseudodifferential subspaces and their applications in elliptic theory. Zbl 1113.58010Savin, Anton; Sternin, Boris 1 2006 On the index of elliptic operators on manifolds with edges. Zbl 1138.58310Nazaikinskii, 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 1115.86002Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E. 10 2005 Boundary value problems on manifolds with fibered boundary. Zbl 1078.58014Savin, Anton; Sternin, Boris 4 2005 Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu. 2 2005 Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012Nazaĭkinskiĭ, 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 1083.58022Savin, A. Yu.; Sternin, B. Yu. 5 2004 Relative elliptic theory. Zbl 1090.58016Nazaikinskii, Vladimir; Sternin, Boris 4 2004 On the definition of pseudodifferential operators on manifolds with singularities. Zbl 1125.58305Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2004 The \(\eta\) invariant and elliptic operators in subspaces. Zbl 1029.58016Savin, A.; Schulze, B.-W.; Sternin, B. 3 2003 Operator algebras on manifolds with isolated singularities. Zbl 1181.35358Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 On the Green operator in relative elliptic theory. Zbl 1125.58302Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 Quantization methods in differential equations. Zbl 1079.81040Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y. 6 2002 The \(\eta\)-invariant and Pontryagin duality in \(K\)-theory. Zbl 1030.58017Savin, A. Yu.; Sternin, B. Yu. 3 2002 Elliptic operators in subspaces and the eta invariant. Zbl 1021.58017Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris 2 2002 The index locality principle in elliptic theory. Zbl 1001.58017Nazaĭkinskiĭ, V. E.; Sternin, B. Yu. 4 2001 The eta-invariant and parity conditions. Zbl 1044.58027Savin, A. Yu.; Sternin, B. Yu. 1 2001 On the problem of the homotopy classification of elliptic boundary value problems. Zbl 1066.58012Savin, A. Yu.; Sternin, B. Yu. 1 2001 The index of Fourier integral operators on manifolds with conical singularities. Zbl 1004.58015Nazaikinskij, V. E.; Schulze, B.-W.; Sternin, B. Yu. 1 2001 Surgery and the relative index in elliptic theory. Zbl 1001.58016Nazaikinskii, Vladimir; Sternin, Boris 1 2001 Elliptic operators in odd subspaces. Zbl 0981.58018Savin, A. Yu.; Sternin, B. Yu. 2 2000 A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030Nazaikinskiĭ, V. E.; Sternin, B. Yu. 1 2000 Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014Nazaikinskij, V. E.; Sternin, B. Yu. 1 2000 Elliptic operators in even subspaces. Zbl 0963.58008Savin, A. Yu.; Sternin, B. Yu. 6 1999 On invariant index formulas for spectral boundary value problems. Zbl 1034.58020Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. 3 1999 The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 1 1999 On the index of differential operators on manifolds with conical singularities. Zbl 0914.58030Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 9 1998 Differential equations on singular manifolds. Semiclassical theory and operator algebras. Zbl 0946.58021Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 7 1998 On general boundary-value problems for elliptic equations. Zbl 0926.35033Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. 6 1998 An operator algebra on manifolds with cusp-type singularities. Zbl 0914.58029Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 2 1998 On some global aspects of the theory of partial differential equations on manifolds with singularities. Zbl 0898.35120Schulze, B.-W.; Sternin, B.; Shatalov, V. 2 1998 Lefschetz fixed point theorem for quantized canonical transformations. Zbl 0948.58018Shatalov, V. E.; Sternin, B. Yu. 1 1998 Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500Nazaĭkinskiĭ, 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 0922.35035Schulze, B.-W.; Sternin, B.; Shatalov, V. 1 1998 On the confluence phenomenon for Fuchsian equations. Zbl 0943.34082Sternin, B. Yu.; Shatalov, V. E. 2 1997 Nonstationary problems for Borel-Fuchs type equations. Zbl 0942.35119Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 2 1997 Saddle-point method and resurgent analysis. Zbl 0915.58067Sternin, B. Yu.; Shatalov, V. E. 1 1997 Structure rings of singularities and differential equations. Zbl 0907.58067Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 1 1997 Borel-Laplace transform and asymptotic theory. Introduction to resurgent analysis. Zbl 0852.34001Sternin, Boris Yu.; Shatalov, Victor 32 1996 Relative elliptic theory and the Sobolev problem. Zbl 0882.58053Sternin, B. Yu.; Shatalov, V. E. 5 1996 Reflection formulas and continuation of solutions of boundary-value problems. Zbl 1331.35101Sternin, B. Yu.; Shatalov, V. E. 1 1996 On the solvability of multidimensional Fuchsian equations in classes of resurgent functions. Zbl 0908.35025Sternin, B. Yu.; Shatalov, V. E. 1 1996 The Atiyah-Bott-Lefschetz fixed-point theorem in symplectic geometry. Zbl 0903.58052Sternin, B. Yu.; Shatalov, V. E. 1 1996 Analytic continuation of solutions of integral equations and localization of singularities. Zbl 0897.45001Sternin, B. Yu.; Shatalov, V. E. 1 1996 Methods of noncommutative analysis: theory and applications. Zbl 0876.47015Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. 16 1995 On a notion of resurgent function of several variables. Zbl 0842.32006Sternin, Boris; Shatalov, Victor 3 1995 Extension of solutions in domains with piecewise-analytic boundaries. Zbl 0885.35018Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E. 1 1995 Differential equations on complex manifolds. Zbl 0818.35003Sternin, Boris; Shatalov, Victor 12 1994 On a new integral representation of ramified analytic functions. Zbl 0844.32006Sternin, B. Yu.; Shatalov, V. E. 2 1994 Resurgent analysis and differential equations with singularities. Zbl 0847.35025Schulze, B.-W.; Sternin, B.; Shatalov, V. 2 1994 Fourier-Gauss transformation and quantization. Zbl 0866.43003Sternin, Boris; Shatalov, Victor 1 1994 An extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems. Zbl 0840.35132Sternin, B. Yu.; Shatalov, V. E. 1 1994 Resurgent analysis in several variables. II: Applications. Zbl 0847.35019Sternin, Boris; Shatalov, Victor 1 1994 Resurgent analysis in several variables. I: General theory. Zbl 0831.35021Sternin, Boris; Shatalov, Victor 1 1994 On the reflection law for the Helmholtz equation. Zbl 0807.35024Savina, T. V.; Sternin, B. Yu.; Shatalov, V. E. 5 1992 Contact geometry and linear differential equations. Zbl 0813.58003Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu. 5 1992 On a problem of extension of the solutions for elliptic equations. Zbl 0766.35010Sternin, B. Yu.; Shatalov, V. E. 1 1992 Continuing solutions of elliptic equations. Zbl 0788.35030Sternin, B. Yu.; Shatalov, V. E. 1 1992 Fourier-Maslov transform in the space of multivalued analytic functions. Zbl 0755.32003Sternin, B. Yu.; Shatalov, V. E. 2 1991 Continuation of solutions to elliptic equations and localization of singularities. Zbl 0803.35028Sternin, B. Yu.; Shatalov, V. E. 1 1991 Lagrangian manifolds and the Maslov operator. Transl. from the Russian by Dana Mackenzie. Zbl 0727.58001Mishchenko, A. S.; Shatalov, V. E.; Sternin, B. Yu. 18 1990 Complex-analytic Cauchy problem in a bounded domain. Zbl 0704.35026Sternin, B. Yu.; Shatalov, V. E. 1 1990 Differential equations on complex-analytic manifolds and the canonical Maslov operator. Zbl 0663.35007Sternin, 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 0666.44004Sternin, B. Yu.; Shatalov, V. E. 2 1988 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 200 Authors 40 Sternin, Boris Yur’evich 36 Savin, Anton Yur’evich 16 Nazaikinskii, Vladimir E. 13 Shatalov, Victor E. 12 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 Smirnov, V. Yu. 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 Daletskii, Alexei 1 Dang, T. I. 1 de Hoop, Maarten V. 1 De Kleijn, Niek 1 Dines, Nicoleta 1 Drago, Nicolò 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. ...and 100 more Authors all top 5 Cited in 94 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 Journal of Mathematical Physics 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 Letters in 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. 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