This book, as usual by the excellent Springer publishers, continues the trend launched by the Clifford algebra people (Lounesto, Chisholm, Baylis, Pezzaglia, Okubo, Benn, etc. - see reviews of some of them), namely, to SIMPLIFY the mathematics of physics by using appropriate ALGEBRAIC techniques r
Distributions and their Applications in Physics
โ Scribed by F. Constantinescu, J. E. G. Farina and G. H. Fullerton (Auth.)
- Publisher
- Pergamon Press
- Year
- 1980
- Tongue
- English
- Leaves
- 153
- Edition
- 1st
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Other Pergamon Titles of Interest, Page ii
Front Matter, Page iii
Copyright, Page iv
Foreword, Page ix
Editor's Note, Page x
CHAPTER 1 - Normed and Countably-normed Spaces, Pages 1-23
CHAPTER 2 - Test Function Spaces, Pages 24-30
CHAPTER 3 - Distribution Spaces, Pages 31-33
CHAPTER 4 - Local Properties of Distributions, Pages 34-39
CHAPTER 5 - Simple Examples of Distributions, Pages 40-42
CHAPTER 6 - Operations on Distributions, Pages 43-48
CHAPTER 7 - Distributions with Compact Support and the General Structure of Tempered Distributions, Pages 49-55
CHAPTER 8 - Functions with Non-integrable Algebraic Singularities, Pages 56-70
CHAPTER 9 - The Tensor Product and the Convolution of Distributions, Pages 71-79
CHAPTER 10 - Fourier Transforms, Pages 80-100
CHAPTER 11 - Distributions Connected with the Light Cone, Pages 101-116
CHAPTER 12 - Hilbert Space and Distributions. Applications in Physics, Pages 117-134
Appendix - Ultradistributions, Pages 135-141
References, Pages 142-144
Index, Pages 145-146
OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY, Pages 147-148
๐ SIMILAR VOLUMES
A unique and detailed account of all important relations in the analytic theory of determinants, from the classical work of Laplace, Cauchy and Jacobi to the latest 20th century developments. The first five chapters are purely mathematical in nature and make extensive use of the column vector notati
<p>The last treatise on the theory of determinants, by T. Muir, revised and enlarged by W. H. Metzler, was published by Dover Publications Inc. in 1960. It is an unabridged and corrected republication of the edition ori- nally published by Longman, Green and Co. in 1933 and contains a preface by Met