傅立葉分析和偏微分方程

Preface

Part One: Fourier Series and Periodic Distributions

1 Preliminaries

1.1 Basic Definitions and Examples

1.2 Classification into Types

1.3 Boundary and/or Initial Value Problems

1.4 Separation of Variables: Heat Flow in a Bar

1.5 The Schrodinger and the Wave Equations

1.6 The Dirichlet Problem in the Unit Circle

1.7 Maximum Principles and Uniqueness

2 Fourier Series: Basic Theory

2.1 Spaces of Periodic Functions and Sequences

2.2 The Fourier Transform

2.3 Geometric Interpretation

2.4 Decay and Differentiability

基本介紹