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Bibliographic Details

Title: Plane Waves and Spherical Means Applied to Partial Differential Equations
Publisher: Dover Publications, Incorporated
Publication Date: 2004
Language: English
ISBN 10: 048643804X
ISBN 13: 9780486438047
Binding: Soft cover
Condition: Very Good

About this title

Synopsis

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.

Synopsis

John (Institute of Mathematical Sciences, New York University) presents results on partial differential equations, showing how a variety of results on fairly general differential equations follow from certain elementary identities for plan and spherical integrals of an arbitrary function. He demonstrates that integrals over ordinary spheres and pla

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