# Generalized Functions, Volume 1: Properties and Operations

### About this Title

**I. M. Gel′fand** and **G. E. Shilov**

Publication: AMS Chelsea Publishing

Publication Year:
1964; Volume 377

ISBNs: 978-1-4704-2658-3 (print); 978-1-4704-3122-8 (online)

DOI: https://doi.org/10.1090/chel/377

### Table of Contents

**Front/Back Matter**

**Chapters**

- Chapter I. Definition and simplest properties of generalized functions
- Chapter II. Fourier transforms of generalized functions
- Chapter III. Particular types of generalized functions
- Summary of fundamental definitions and equations of volume I
- Table of Fourier transforms
- Appendix A. Proof of the completeness of the generalized-function space
- Appendix B. Generalized functions of complex variables
- Notes and references to the literature