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Item Details
Title: SPECTRAL METHODS IN INFINITE-DIMENSIONAL ANALYSIS
Volume: v. 1 & 2
By: Y.M. Berezansky, Yurij G. Kondratiev, P. V. Malyshev (Trans)
Format: Hardback

List price: £117.00


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ISBN 10: 0792328493
ISBN 13: 9780792328490
Publisher: KLUWER ACADEMIC PUBLISHERS
Pub. date: 31 May, 1995
Edition: 2 Hardbacks
Series: Mathematical Physics and Applied Mathematics v. 12
Pages: 1036
Translated from: Russian
Description: This two-volume work is devoted to the methods of the spectral theory of operators and the role they play in infinite-dimensional analysis and its applications. Central to this study is the theory of the expansion of general eigenfunctions for families of commuting self-adjoint or normal operators.
Synopsis: The Russian edition of this book appeared 5 years ago. Since that time, many results have been improved upon and new approaches to the problems investigated in the book have appeared. But the greatest surprise for us was to discover that there exists a large group of mathematicians working in the area of the so-called White Noise Analysis which is closely connected with the essential part of our book, namely, with the theory of generalized functions of infinitely many variables. The first papers dealing with White Noise Analysis were written by T. Hida in Japan in 1975. Later, this analysis was devel- oped intensively in Japan, Germany, U.S.A., Taipei, and in other places. The related problems of infinite-dimensional analysis have been studied in Kiev since 1967, and the theory of generalized functions of infinitely many variables has been in- vestigated since 1973. However, due to the political system in the U.S.S.R., contact be- tween Ukrainian and foreign mathematicians was impossible for a long period of time. This is why, to our great regret, only at the end of 1988 did one of the authors meet L. Streit who told him about the existence of White Noise Analysis.And it become clear that many results in these two theories coincide and that, in fact, there exists a single theory and not two distinct ones.
No. of pieces 2
Illustrations: biography
Publication: US
Imprint: Kluwer Academic Publishers
Returns: Returnable
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