Mathematical Physics and Applied Mathematics

Spectral Methods in Infinite-Dimensional Analysis

Authors: Berezansky, Yu.M., Kondratiev, Y.G.

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Hardcover $179.00
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About this book

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.

Table of contents (7 chapters)

  • Rigged Spaces

    Berezansky, Y. M. (et al.)

    Pages 1-77

  • Generalized Functions of Infinitely Many Variables. Gaussian Measures

    Berezansky, Y. M. (et al.)

    Pages 79-258

  • Spectral Theorem

    Berezansky, Y. M. (et al.)

    Pages 259-407

  • Representations by Commuting Operators

    Berezansky, Y. M. (et al.)

    Pages 409-521

  • Application of the Theory of Expansions to Harmonic Analysis

    Berezansky, Y. M. (et al.)

    Pages 522-701

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-94-011-0509-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-7923-2849-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-94-010-4227-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Spectral Methods in Infinite-Dimensional Analysis
Authors
Translated by
Malyshev, P.V., Malyshev, D.V.
Series Title
Mathematical Physics and Applied Mathematics
Series Volume
12/1-2
Copyright
1995
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-0509-5
DOI
10.1007/978-94-011-0509-5
Hardcover ISBN
978-0-7923-2849-0
Softcover ISBN
978-94-010-4227-7
Edition Number
1
Number of Pages
XXVI, 1010
Additional Information
Originally published in Russian
Topics