# Book:Fritz John/Plane Waves and Spherical Means

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## Fritz John:

## Fritz John: *Plane Waves and Spherical Means Applied to Partial Differential Equations*

Published $\text {1955}$, **Dover Publications**

- ISBN 0-486-43804-X.

### Subject Matter

### Contents

- Foreword

- Introduction

- Chapter I

**Decomposition of an Arbitrary Function into Plane Waves**

- Chapter II

**The Initial Value Problem for Hyperbolic Homogeneous Equations with Constant Coefficients**

- Chapter III

**The Fundamental Solution of a Linear Elliptic Differential Equation with Analytic Coefficients**

- Chapter IV

**Identities for Spherical Means**

- Chapter V

**The Theorems of Asgeirsson and Howard**

- Chapter VI

**Determination of a Function from its Integrals over Spheres of a Fixed Radius**

- Chapter VII

**Differentiability Properties of Solutions of Elliptic Systems**

- Chapter VIII

**Regularity Properties for Integrals of Solutions over Time-like Lines**

- Bibliography

- Index