Spectral Methods in Infinite-Dimensional Analysis

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 ar...

Full description

Bibliographic Details
Main Authors: Berezansky, Yu.M., Kondratiev, Y.G. (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1995, 1995
Edition:1st ed. 1995
Series:Mathematical Physics and Applied Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. 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