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The analyticity of solutions of singular integral equations.

Author: Charles S Kahane; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
Publisher: Ft. Belvoir Defense Technical Information Center JUL 1968.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The author studies the analyticity properties of solutions of the equation g = Kf where K is a singular integral operator of the Calderon-Zygmund type with g and f in L sub p. Assuming that g and K are locally analytic in a suitable sense and that the symbol of the operator K is locally not equal to 0, any solution of the equation g = Kf is shown to be locally analytic. This generalizes the well-known result that  Read more...
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Document Type: Book
All Authors / Contributors: Charles S Kahane; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
OCLC Number: 227498983
Description: 68 pages

Abstract:

The author studies the analyticity properties of solutions of the equation g = Kf where K is a singular integral operator of the Calderon-Zygmund type with g and f in L sub p. Assuming that g and K are locally analytic in a suitable sense and that the symbol of the operator K is locally not equal to 0, any solution of the equation g = Kf is shown to be locally analytic. This generalizes the well-known result that solutions of linear analytic elliptic partial differential equations are themselves analytic. (Author).

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