# Functional Analysis/Harmonic Analysis

## Introduction

Harmonic Analysis is the study of the decomposition of representations of abstract algebraic structures acting on topological vector spaces.

Note: A table of the math symbols used below and their definitions is available in the Appendix.

• The set theory notation and mathematical proofs, from the book Mathematical Proof
• The experience of working with calculus concepts, from the book Calculus

Part 1: General theory of Locally Compact Groups.

## Topic 1: Fell Bundles

Part 2 Reductive Groups:

## Appendices

Here, you will find a list of unsorted chapters. Some of them listed here are highly advanced topics, while others are tools to aid you on your mathematical journey. Since this is the last heading for the wikibook, the necessary book endings are also located here.