Distributions and Their Applications in Physics
International Series in Natural Philosophy
- 158 pages
- English
- PDF
- Only available on web
Distributions and Their Applications in Physics
International Series in Natural Philosophy
About This Book
Distributions and Their Applications in Physics is the introduction of the Theory of Distributions and their applications in physics. The book contains a discussion of those topics under the Theory of Distributions that are already considered classic, which include local distributions; distributions with compact support; tempered distributions; the distribution theory in relativistic physics; and many others. The book also covers the Normed and Countably-normed Spaces; Test Function Spaces; Distribution Spaces; and the properties and operations involved in distributions. The text is recommended for physicists that wish to be acquainted with distributions and their relevance and applications as part of mathematical and theoretical physics, and for mathematicians who wish to be acquainted with the application of distributions theory for physics.
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Table of contents
- Front Cover
- Distributions and their Applications in Physics
- Copyright Page
- Table of Contents
- Foreword
- Editor's Note
- CHAPTER 1. Normed and Countably-normed Spaces
- CHAPTER 2. Test Function Spaces
- CHAPTER 3. Distribution Spaces
- CHAPTER 4. Local Properties of Distributions
- CHAPTER 5. Simple Examples of Distributions
- CHAPTER 6. Operations on Distributions
- CHAPTER 7. Distributions with Compact Support and the General Structure of Tempered Distributions
- CHAPTER 8. Functions with Non-integrable Algebraic Singularities
- CHAPTER 10. Fourier Transforms
- CHAPTER 11. Distributions Connected with the Light Cone
- CHAPTER 12. Hilbert Space and Distributions. Applications in Physics
- Appendix Ultradistributions
- References
- Index
- OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY