Shubin, M. A. (Mikhail Aleksandrovich) 1944
Overview
Works:  61 works in 358 publications in 3 languages and 4,141 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Creator, Dedicatee, ed 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
M. A Shubin
Partial differential equations VII : spectral theory of differential operators by
I︠U︡. V Egorov(
Book
)
133 editions published between 1988 and 2010 in 4 languages and held by 1,336 WorldCat member libraries worldwide
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the AtiyahSinger index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples
133 editions published between 1988 and 2010 in 4 languages and held by 1,336 WorldCat member libraries worldwide
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the AtiyahSinger index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples
Pseudodifferential operators and spectral theory by
M. A Shubin(
Book
)
38 editions published between 1978 and 2012 in 3 languages and held by 521 WorldCat member libraries worldwide
This is the second edition of Shubin's classical book. It provides an introduction to the theory of pseudodifferential operators and Fourier integral operators from the very basics. The applications discussed include complex powers of elliptic operators, Hörmander asymptotics of the spectral function and eigenvalues, and methods of approximate spectral projection. Exercises and problems are included to help the reader master the essential techniques. The book is written for a wide audience of mathematicians, be they interested students or researchers
38 editions published between 1978 and 2012 in 3 languages and held by 521 WorldCat member libraries worldwide
This is the second edition of Shubin's classical book. It provides an introduction to the theory of pseudodifferential operators and Fourier integral operators from the very basics. The applications discussed include complex powers of elliptic operators, Hörmander asymptotics of the spectral function and eigenvalues, and methods of approximate spectral projection. Exercises and problems are included to help the reader master the essential techniques. The book is written for a wide audience of mathematicians, be they interested students or researchers
Partial differential equations III by
I︠U︡. V Egorov(
Book
)
19 editions published in 1991 in English and held by 245 WorldCat member libraries worldwide
19 editions published in 1991 in English and held by 245 WorldCat member libraries worldwide
The Schrödinger equation by
F. A Berezin(
Book
)
22 editions published between 1983 and 1991 in 3 languages and held by 223 WorldCat member libraries worldwide
This volume deals with those topics of mathematical physics, associated with the study of the Schrödinger equation, which are considered to be the most important. Chapter 1 presents the basic concepts of quantum mechanics. Chapter 2 provides an introduction to the spectral theory of the onedimensional Schrödinger equation. Chapter 3 opens with a discussion of the spectral theory of the multidimensional Schrödinger equation, which is a far more complex case and requires careful consideration of aspects which are trivial in the onedimensional case. Chapter 4 presents the scattering theory for the multidimensional nonrelativistic Schrödinger equation, and the final chapter is devoted to quantization and Feynman path integrals. These five main chapters are followed by three supplements, which present material drawn on in the various chapters. The first two supplements deal with general questions concerning the spectral theory of operators in Hilbert space, and necessary information relating to Sobolev spaces and elliptic equations. Supplement 3, which essentially stands alone, introduces the concept of the supermanifold which leads to a more natural treatment of quantization. Although written primarily for mathematicians who wish to gain a better awareness of the physical aspects of quantum mechanics and related topics, it will also be useful for mathematical physicists who wish to become better acquainted with the mathematical formalism of quantum mechanics. Much of the material included here has been based on lectures given by the authors at Moscow State University, and this volume can also be recommended as a supplementary graduate level introduction to the spectral theory of differential operators with both discrete and continuous spectra. This English edition is a revised, expanded version of the original Soviet publication
22 editions published between 1983 and 1991 in 3 languages and held by 223 WorldCat member libraries worldwide
This volume deals with those topics of mathematical physics, associated with the study of the Schrödinger equation, which are considered to be the most important. Chapter 1 presents the basic concepts of quantum mechanics. Chapter 2 provides an introduction to the spectral theory of the onedimensional Schrödinger equation. Chapter 3 opens with a discussion of the spectral theory of the multidimensional Schrödinger equation, which is a far more complex case and requires careful consideration of aspects which are trivial in the onedimensional case. Chapter 4 presents the scattering theory for the multidimensional nonrelativistic Schrödinger equation, and the final chapter is devoted to quantization and Feynman path integrals. These five main chapters are followed by three supplements, which present material drawn on in the various chapters. The first two supplements deal with general questions concerning the spectral theory of operators in Hilbert space, and necessary information relating to Sobolev spaces and elliptic equations. Supplement 3, which essentially stands alone, introduces the concept of the supermanifold which leads to a more natural treatment of quantization. Although written primarily for mathematicians who wish to gain a better awareness of the physical aspects of quantum mechanics and related topics, it will also be useful for mathematical physicists who wish to become better acquainted with the mathematical formalism of quantum mechanics. Much of the material included here has been based on lectures given by the authors at Moscow State University, and this volume can also be recommended as a supplementary graduate level introduction to the spectral theory of differential operators with both discrete and continuous spectra. This English edition is a revised, expanded version of the original Soviet publication
Partial differential equations VI : elliptic and parabolic operators by
I︠U︡. V Egorov(
Book
)
20 editions published in 1994 in English and held by 206 WorldCat member libraries worldwide
This volume of the EMS contains three contributions covering topics in the field of partial differential equations: Elliptic operators on closed manifolds, degenerating elliptic equations and boundary problems, and parabolic equations. All the authors are wellknown researchers and they present their material as accessible surveys enabling readers to find comprehensive coverage of results which are scattered throughout the literature. For this reason the book is a unique source of information. It forms part of a multivolume subseries of the EMS devoted to partial differential equations and it will be very useful to graduate students and researchers in mathematics and theoretical physics as well as engineers who are interested in this subject
20 editions published in 1994 in English and held by 206 WorldCat member libraries worldwide
This volume of the EMS contains three contributions covering topics in the field of partial differential equations: Elliptic operators on closed manifolds, degenerating elliptic equations and boundary problems, and parabolic equations. All the authors are wellknown researchers and they present their material as accessible surveys enabling readers to find comprehensive coverage of results which are scattered throughout the literature. For this reason the book is a unique source of information. It forms part of a multivolume subseries of the EMS devoted to partial differential equations and it will be very useful to graduate students and researchers in mathematics and theoretical physics as well as engineers who are interested in this subject
Contemporary mathematical physics : F.A. Berezin memorial volume(
Book
)
3 editions published in 1996 in English and held by 187 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 187 WorldCat member libraries worldwide
Topics in statistical and theoretical physics : F.A. Berezin memorial volume by
R. L Dobrushin(
Book
)
4 editions published in 1996 in English and held by 185 WorldCat member libraries worldwide
4 editions published in 1996 in English and held by 185 WorldCat member libraries worldwide
Partial differential equations(
Book
)
in English and Undetermined and held by 173 WorldCat member libraries worldwide
in English and Undetermined and held by 173 WorldCat member libraries worldwide
Spectral theory and geometric analysis : international conference in honor of Mikhail Shubin's 65th birthday, July 29  August
2, 2009, Northeastern University, Boston, Massachusetts(
Book
)
14 editions published between 2010 and 2011 in English and held by 158 WorldCat member libraries worldwide
14 editions published between 2010 and 2011 in English and held by 158 WorldCat member libraries worldwide
The Cauchy problem ; Qualitative theory of partial differential equations(
Book
)
3 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 17 WorldCat member libraries worldwide
Metod parametriksa v teorii different︠s︡ialʹnykh kompleksov by
N. N Tarkhanov(
Book
)
2 editions published in 1990 in Russian and held by 14 WorldCat member libraries worldwide
2 editions published in 1990 in Russian and held by 14 WorldCat member libraries worldwide
Ri︠a︡d Lorana dli︠a︡ resheniĭ ėllipticheskikh sistem by
N. N Tarkhanov(
Book
)
2 editions published in 1991 in Russian and held by 8 WorldCat member libraries worldwide
2 editions published in 1991 in Russian and held by 8 WorldCat member libraries worldwide
Théorie des hyperfonctions by
Pierre Schapira(
Book
)
2 editions published in 1972 in Russian and held by 7 WorldCat member libraries worldwide
2 editions published in 1972 in Russian and held by 7 WorldCat member libraries worldwide
Microlocal analysis and hyperbolic equations(
Book
)
2 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
Elliptic boundary value problems(
Book
)
1 edition published in 1997 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 6 WorldCat member libraries worldwide
Overdetermined systems ; Dissipative singular Schrödinger operator ; Index theory(
Book
)
1 edition published in 1996 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 5 WorldCat member libraries worldwide
Classical and quantum completeness for the Schrödinger operators on noncompact manifolds by
M. A Shubin(
Book
)
4 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide
Elliptic and parabolic operators(
Book
)
3 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
World scientific monograph series in mathematics(
)
in English and held by 4 WorldCat member libraries worldwide
in English and held by 4 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Egorov, I︠U︡. V. (I︠U︡riĭ Vladimirovich) Author Editor
 Egorov, I︠U︡. V. (I︠U︡riĭ Vladimirovich) Other Author Editor Creator
 Berezin, F. A. (Feliks Aleksandrovich) Honoree Author
 Agranovich, M. S. Author Editor
 Minlos, R. A. (Robert Adolʹfovich) Editor
 Dobrushin, R. L. 19291995 Editor
 Sosinskiĭ, A. B. (Alekseĭ Bronislavovich) Translator
 Vershik, A. M. (Anatoliĭ Moiseevich) 1933 Editor
 Braverman, Maxim 1966 Editor
 Vishik, M. I. Author
Useful Links
Associated Subjects
Analytic functions Berezin, F. A.(Feliks Aleksandrovich) Boundary value problems ChemistryMathematics Complexes Differential equations Differential equations, Elliptic Differential equations, EllipticNumerical solutions Differential equations, Hyperbolic Differential equations, Linear Differential equations, Partial Differential equations, PartialAsymptotic theory Differential operators Elliptic operators Engineering Functional analysis Geometric analysis Geometry, Algebraic Global analysis (Mathematics) Global differential geometry Hyperfunctions Laurent series Mathematical physics Mathematics Microlocal analysis Number theory Parabolic operators Pseudodifferential operators Quantum theory Representations of groups Schrödinger equation Spectral theory (Mathematics) Statistical physics Theory of distributions (Functional analysis)
Alternative Names
Mikhail Shubin AmericanRussian mathematician
Mikhail Shubin Amerikaans wiskundige
Schubin, M. A. 1944
Shubin, M.
Shubin, M. 1944
Shubin, M. A.
Shubin, M.A. 1944
Shubin, Michail A. 1944
Shubin, Mikhail 1944
Shubin, Mikhail A. 1944
Shubin, Mikhail Aleksandrovich
Shubin, Mikhail Aleksandrovich 1944...
Šubin, M. A.
Šubin, M.A. 1944
Šubin, Michail Aleksandrovič
Šubin, Michail Aleksandrovič 1944
Šubin, Michail Aleksandrovič. [t]
Šubin, Mikhail A. 1944
Шубин, Михаил Александрович.
Languages
Covers