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OverviewThe 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. Full Product DetailsAuthor: Yu.M. Berezansky , D.V. Malyshev , Y.G. Kondratiev , P.V. MalyshevPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 1995 Volume: 12/1-2 Weight: 1.584kg ISBN: 9789401042277ISBN 10: 9401042276 Pages: 1010 Publication Date: 10 November 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Rigged Spaces.- 2. Generalized Functions of Infinitely Many Variables. Gaussian Measures.- 3. Spectral Theorem.- 4. Representations by Commuting Operators.- 5. Application of the Theory of Expansions to Harmonic Analysis.- 6. Infinite-Dimensional Elliptic Differential Operators of the Second Order.- 7. Infinite-Dimensional Differential Operators in the Models of Quantum Statistical Physics and Field Theory.- Bibliographical Notes.- References.- Subject Index of Volume 1.- List of Notations of Volume 1.- of Volume 2.- Bibliographical Notes.- References.- Subject Index of Volume 2.- List of Notations of Volume 2.- of Volume 1.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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