Integral Geometry and Representation Theory

✍ Scribed by I. M. Gel'fand, M. I. Graev and N. Ya. Vilenkin (Auth.)

• Publisher: Elsevier Inc
• Year: 1966
• Tongue: English
• Leaves: 456
• Category: Library

✦ Table of Contents

Content:
GENERALIZED FUNCTIONS, Page ii
Front Matter, Page iii
Copyright, Page iv
Translator's Note, Page v
Foreword, Pages vii-viii
CHAPTER I - RADON TRANSFORM OF TEST FUNCTIONS AND GENERALIZED FUNCTIONS ON A REAL AFFINE SPACE, Pages 1-74
CHAPTER II - INTEGRAL TRANSFORMS IN THE COMPLEX DOMAIN, Pages 75-132
CHAPTER III - REPRESENTATIONS OF THE GROUP OF COMPLEX UNIMODULAR MATRICES IN TWO DIMENSIONS, Pages 133-201
CHAPTER IV - HARMONIC ANALYSIS ON THE GROUP OF COMPLEX UNIMODULAR MATRICES IN TWO DIMENSIONS, Pages 202-272
CHAPTER V - INTEGRAL GEOMETRY IN A SPACE OF CONSTANT CURVATURE, Pages 273-330
CHAPTER VI - HARMONIC ANALYSIS ON SPACES HOMOGENEOUS WITH RESPECT TO THE LORENTZ GROUP, Pages 331-389
CHAPTER VII - REPRESENTATIONS OF THE GROUP OF REAL UNIMODULAR MATRICES IN TWO DIMENSIONS, Pages 390-439
NOTES AND REFERENCES TO THE LITERATURE, Pages 440-442
BIBLIOGRAPHY, Pages 442-444
Index, Pages 445-448
Index of Radon Transforms of Particular Functions, Page 449