Generalized Functions
eBook - PDF

Generalized Functions

Applications of Harmonic Analysis

  1. 398 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Generalized Functions

Applications of Harmonic Analysis

About this book

Generalized Functions, Volume 4: Applications of Harmonic Analysis is devoted to two general topics—developments in the theory of linear topological spaces and construction of harmonic analysis in n-dimensional Euclidean and infinite-dimensional spaces. This volume specifically discusses the bilinear functionals on countably normed spaces, Hilbert-Schmidt operators, and spectral analysis of operators in rigged Hilbert spaces. The general form of positive generalized functions on the space S, continuous positive-definite functions, and conditionally positive generalized functions are also deliberated. This publication likewise considers the mean of a generalized random process, multidimensional generalized random fields, simplest properties of cylinder sets, and definition of Gaussian measures. This book is beneficial to students, specialists, and researchers aiming to acquire knowledge of functional analysis.

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Yes, you can access Generalized Functions by I. M. Gel'fand,N. Ya. Vilenkin in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Applications of Harmonic Analysis
  3. Copyright Page
  4. Table of Contents
  5. Translator's Note
  6. Foreword
  7. CHAPTER I. THE KERNEL THEOREM. NUCLEAR SPACES. RIGGED HILBERT SPACE
  8. CHAPTER II. Positive and Positive-Definite Generalized Functions
  9. CHAPTER III. Generalized Random Processes
  10. CHAPTER IV. MEASURES IN LINEAR TOPOLOGICAL SPACES
  11. NOTES AND REFERENCES TO THE LITERATURE
  12. BIBLIOGRAPHY
  13. SUBJECT INDEX