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Contemporary Mathematical Physics
 
Edited by: R. L. Dobrushin Institute of Information Transmission Problems, Moscow, Russia
R. A. Minlos Institute of Information Transmission Problems, Moscow, Russia
M. A. Shubin Northeastern University, Boston, MA
A. M. Vershik Russian Academy of Sciences, St. Petersburg, Russia
Contemporary Mathematical Physics
Hardcover ISBN:  978-0-8218-0426-1
Product Code:  TRANS2/175
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3386-4
Product Code:  TRANS2/175.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0426-1
eBook: ISBN:  978-1-4704-3386-4
Product Code:  TRANS2/175.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Contemporary Mathematical Physics
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Contemporary Mathematical Physics
Edited by: R. L. Dobrushin Institute of Information Transmission Problems, Moscow, Russia
R. A. Minlos Institute of Information Transmission Problems, Moscow, Russia
M. A. Shubin Northeastern University, Boston, MA
A. M. Vershik Russian Academy of Sciences, St. Petersburg, Russia
Hardcover ISBN:  978-0-8218-0426-1
Product Code:  TRANS2/175
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3386-4
Product Code:  TRANS2/175.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0426-1
eBook ISBN:  978-1-4704-3386-4
Product Code:  TRANS2/175.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1751996; 236 pp
    MSC: Primary 22; 47; 81

    This first of a two-volume collection is a celebration of the scientific heritage of F. A. Berezin (1931–1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization, and Grassmannian analysis (“supermathematics”).

    Collected here are papers by his many of his colleagues and others who worked in related areas, representing a wide spectrum of topics in mathematical physics and allied areas of mathematics. In particular, the papers discuss quantization, invariant integration, spectral theory, and representation theory.

    Readership

    Graduate students and research mathematicians interested in group representation theory, supermathematics, and spectral analysis.

  • Table of Contents
     
     
    • Chapters
    • R. A. Minlos — Felix Alexandrovich Berezin (A brief scientific biography)
    • V. M. Buchstaber and A. M. Perelomov — On the functional equation related to the quantum three-body problem
    • L. D. Faddeev and P. N. Pyatov — The differential calculus on quantum linear groups
    • Simon Gindikin — The Penrose transform on flag domains in $\mathcal F(\mathbb {C}P^2)$
    • P. Grozman and D. Leites — Defining relations associated with principal $\mathfrak {sl}(2)$-subalgebras
    • A. Laptev and Yu. Safarov — A generalization of the Berezin-Lieb inequality
    • V. F. Molchanov — Quantization on para-Hermitian symmetric spaces
    • Yu. A. Neretin — Integral operators with Gaussian kernels and symmetries of canonical commutation relations
    • Grigori Olshanski and Anatoli Vershik — Ergodic unitarily invariant measures on the space of infinite Hermitian matrices
    • V. P. Palamodov — Cogitations over Berezin’s integral
    • M. A. Shubin — Remarks on the topology of the Hilbert Grassmannian
    • I. M. Sigal — Asymptotic completeness
    • D. P. Zhelobenko — Constructive modules and the reductivity problem in the category $\mathcal {O}$
    • V. P. Maslov, M. A. Shubin, A. M. Vershik and N. D. Vvedenskaya — Alik Berezin in the recollections of friends
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 1751996; 236 pp
MSC: Primary 22; 47; 81

This first of a two-volume collection is a celebration of the scientific heritage of F. A. Berezin (1931–1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization, and Grassmannian analysis (“supermathematics”).

Collected here are papers by his many of his colleagues and others who worked in related areas, representing a wide spectrum of topics in mathematical physics and allied areas of mathematics. In particular, the papers discuss quantization, invariant integration, spectral theory, and representation theory.

Readership

Graduate students and research mathematicians interested in group representation theory, supermathematics, and spectral analysis.

  • Chapters
  • R. A. Minlos — Felix Alexandrovich Berezin (A brief scientific biography)
  • V. M. Buchstaber and A. M. Perelomov — On the functional equation related to the quantum three-body problem
  • L. D. Faddeev and P. N. Pyatov — The differential calculus on quantum linear groups
  • Simon Gindikin — The Penrose transform on flag domains in $\mathcal F(\mathbb {C}P^2)$
  • P. Grozman and D. Leites — Defining relations associated with principal $\mathfrak {sl}(2)$-subalgebras
  • A. Laptev and Yu. Safarov — A generalization of the Berezin-Lieb inequality
  • V. F. Molchanov — Quantization on para-Hermitian symmetric spaces
  • Yu. A. Neretin — Integral operators with Gaussian kernels and symmetries of canonical commutation relations
  • Grigori Olshanski and Anatoli Vershik — Ergodic unitarily invariant measures on the space of infinite Hermitian matrices
  • V. P. Palamodov — Cogitations over Berezin’s integral
  • M. A. Shubin — Remarks on the topology of the Hilbert Grassmannian
  • I. M. Sigal — Asymptotic completeness
  • D. P. Zhelobenko — Constructive modules and the reductivity problem in the category $\mathcal {O}$
  • V. P. Maslov, M. A. Shubin, A. M. Vershik and N. D. Vvedenskaya — Alik Berezin in the recollections of friends
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.