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Plane Waves and Spherical Means Applied to Partial Differential Equations by Fritz John ISBN: 048643804X Dover Publications Price: $12.95 click here to see this book This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results on fairly general differential equations follow from those identities. Explores the decomposition of arbitrary functions into functions of the type of plane waves; Radon transformation; more. 1955 edition. Unabridged republication of the edition published by Interscience Publishers, Inc., New York, 1955. Table of Contents for Plane Waves and Spherical Means Applied to Partial Differential Equations I. Decomposition of an Arbitrary Function into Plane Waves II. The Initial Value Problem for Hyperbolic Homogeneous Equations with Constant Coefficients III. The Fundamental Solution of a Linear Elliptic Differential Equation with Analytic Coefficients IV. Identities for Spherical Means V. The Theorems of Asgeirsson and Howard VI. Determination of a Function from its Integrals over Spheres of a Fixed Radius VII. Differentiability Properties of Solutions of Elliptic Systems VIII. Regularity Properties of Integrals of Solutions over Time-like Lines Bibliography Index

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