Chapter 1 Introduction

Chapter 2 Elements of the Theory of Lie Groups and Lie Algebras

Chapter 3 Group Representations and Harmonic Analysis on Groups

Chapter 4 Commutative Groups and Elementary Functions. The Group of Linear Transformations of the Straight Line and the Gamma-Function. Hypergeometric Functions

Chapter 5 Representations of the Groups of Motions of Euclidean and Pseudo-Euclidean Planes, and Cylindrical Functions

Chapter 6 Representations of Groups of Third Order Triangular Matrices, the Confluent Hypergeometric Function, and Related Polynomials and Functions

Chapter 7 Representations of the Groups SU (2), SU (1,1) and Related Special Functions: Legendre, Jacobi, Chebyshev Polynomials and Functions, Gegenbauer, Krawtchouk, Meixner Polynomials

Chapter 8 Representations of the Groups SU (1,1) and SL (2, ℝ) in Mixed Bases. The Hypergeometric Function