# Book:Fritz John/Plane Waves and Spherical Means

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

Published $1955$, Dover Publications

ISBN 0-486-43804-X.

### 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