Contemporary Mathematical Physics: F. A. Berezin Memorial Volume (American Mathematical Society Translations)

Contemporary Mathematical Physics: F. A. Berezin Memorial Volume (American Mathematical Society Translations)

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Description

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.

Contents

Felix Alexandrovich Berezin (a brief scientific biography) by R. A. Minlos On the functional equation related to the quantum three-body problem by V. M. Buchstaber and A. M. Perelomov The differential calculus on quantum linear groups by L. D. Faddeev and P. N. Pyatov The Penrose transform on flag domains in $\mathcal F (\mathbb CP^2)$ by S. Gindikin Defining relations associated with principal $\mathfrak {sl}(2)$-subalgebras by P. Grozman and D. Leites A generalization of the Berezin-Lieb inequality by A. Laptev and Yu. Safarov Quantization on para-Hermitian symmetric spaces by V. F. Molchanov Integral operators with Gaussian kernels and symmetries of canonical commutation relations by Yu. A. Neretin Ergodic unitarily invariant measures on the space of infinite Hermitian matrices by G. Olshanski and A. Vershik Cogitations on Berezin's integral by V. P. Palamodov Remarks on the topology of the Hilbert Grassmannian by M. A. Shubin Asymptotic completeness by I. M. Sigal Constructive modules and the reductivity problem in the category $\mathcal O$ by D. P. Zhelobenko Alik Berezin in the recollections of friends.

Product Details

  • ISBN13: 9780821804261
  • Format: Hardback
  • ID: 9780821804261
  • ISBN10: 082180426X

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