Accession Number:

AD0673550

Title:

THE ANALYTICITY OF SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS.

Descriptive Note:

Technical rept.,

Corporate Author:

MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS

Personal Author(s):

Report Date:

1968-07-01

Pagination or Media Count:

68.0

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE