Properties and Operations
eBook - PDF

Properties and Operations

  1. 442 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Properties and Operations

Book details
Table of contents
Citations

About This Book

Generalized Functions, Volume 1: Properties and Operations provides a systematic development of the theory of generalized functions and problems in analysis connected with it. This book focuses on the concept of a convenient link that connects many aspects of analysis, functional analysis, theory of differential equations, representation theory of locally compact Lie groups, and theory of probability and statistics. This volume is essentially devoted to algorithmic questions of the theory, covering many applications of generalized functions to various problems of analysis. The topics discussed include the local properties of generalized functions, differentiation as a continuous operation, and Fourier Transforms of test functions. The wave equation in space of odd dimension, derivation of Green's theorem, and reducible singular points are also described. This publication is a good reference for mathematicians, researchers, and students concerned with generalized functions.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483261591
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Front Cover
  2. Properties and Operations
  3. Copyright Page
  4. Table of Contents
  5. Translator's Note
  6. Foreword to the First Russian Edition
  7. Foreword to the Second Russian Edition
  8. Chapter I. Definition and Simplest Properties of Generalized Functions
  9. Chapter II. Fourier Transforms of Generalized Functions
  10. Chapter III. Particular Types of Generalized Functions
  11. Summary of Fundamental Definitions and Equations of Volume I
  12. Table of Fourier Transforms
  13. Appendix A: Proof of the Completeness of the Generalized-Function Space
  14. Appendix B: Generalized Functions of Complex Variables
  15. Notes and References to the Literature
  16. Bibliography
  17. Index
  18. Index of Particular Generalized Functions