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Hardcover ISBN:  9780821804261 
Product Code:  TRANS2/175 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433864 
Product Code:  TRANS2/175.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821804261 
eBook ISBN:  9781470433864 
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 DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 175; 1996; 236 ppMSC: Primary 22; 47; 81
This first of a twovolume 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.
ReadershipGraduate 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 threebody 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 BerezinLieb inequality

V. F. Molchanov — Quantization on paraHermitian 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


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This first of a twovolume 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.
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 threebody 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 BerezinLieb inequality

V. F. Molchanov — Quantization on paraHermitian 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