1 Table of Contents: “...1. The Concept of a Spherical Function -- § 1.1. Review of Some Basic Notions of Representation...”

2 Table of Contents: “... Applications -- 1.10 Exercises -- 2 Determinants -- 2.1 Basic properties of the determinant -- 2.2 Existence...”

3 Table of Contents: “...14.11 Simplification Chart -- 15 Graphics -- 15.1 Some Basic Two-Dimensional Plots -- 15.2 Options...”

4 Table of Contents: “... and the formal delta function -- 2.2 Derivations and the formal Taylor Theorem -- 2.3 Expansions of zero...”

5 Table of Contents: “... Algebras -- 2. Harish-Chandra’s c-function. A mathematical jewel -- 3. Basic harmonic analysis on pseudo...”

6 Table of Contents: “... -- 2.1. Symmetries of Algebraic Equations -- 2.2. Groups and Differential Equations -- 2.3. Prolongation...”