# Generalized Functions, Volume 5: Integral Geometry and Representation Theory

### About this Title

**I. M. Gel′fand**, **M. I. Graev** and **N. Ya. Vilenkin**. Translated by **Eugene Saletan**

Publication: AMS Chelsea Publishing

Publication Year:
1966; Volume 381

ISBNs: 978-1-4704-2663-7 (print); 978-1-4704-3126-6 (online)

DOI: https://doi.org/10.1090/chel/381

### Table of Contents

**Front/Back Matter**

**Chapters**

- Chapter I. Radon transform of test functions and generalized functions on a real affine space
- Chapter II. Integral transforms in the complex domain
- Chapter III. Representations of the group of complex unimodular matrices in two dimensions
- Chapter IV. Harmonic analysis on the group of complex unimodular matrices in two dimensions
- Chapter V. Integral geometry in a space of constant curvature
- Chapter VI. Harmonic analysis on spaces homogeneous with respect to the Lorentz group
- Chapter VII. Representations of the group of real unimodular matrices in two dimensions