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Plane Waves and Spherical Means Applied to Partial Differential Equations

Plane Waves and Spherical Means Applied to Partial Differential Equations

By: Fritz John

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Elementary and self-contained, this heterogeneous 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. The first chapter deals with the decomposition of arbitrary functions into functions of the type of plane waves. Succeeding chapters introduce the first application of the Radon transformation and examine the solution of the initial value problem for homogeneous hyperbolic equations with constant coefficients and the problem of determining a function from its integrals over spheres of radius 1. 1955 edition.

Unabridged republication of the edition published by Interscience Publishers, Inc., New York, 1955.
AvailabilityUsually ships in 24 to 48 hours
ISBN 10048643804X
ISBN 139780486438047
Author/EditorFritz John
Page Count190
Dimensions5 3/8 x 8 1/2

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