Accession Number : AD0709716

Title :   APPLICATION OF LAPLACE OPERATORS.

Descriptive Note : Final status rept. 1 Jul 66-31 Jul 69,

Corporate Author : CALIFORNIA UNIV RIVERSIDE DEPT OF MATHEMATICS

Personal Author(s) : Shapiro,Victor L.

Report Date : 06 JAN 1970

Pagination or Media Count : 9

Abstract : The bulk of the report is concerned with a description of the following two papers: (1) Sets of uniqueness for the vibrating string problem (published in the Transactions of the American Mathematical Society); and, (2) Removable sets for pointwise solutions of the Cauchy-Riemann equations (to be published in the Annals of Mathematics). These two papers represent one of the important concepts developed by the principal investigator during the period of the grant; namely, by using the Laplace and generalized Laplace operators in conjunction with recent sophisticated developments in the theory of multiple trigonometric series, fundamental new results can be achieved in the theory of partial differential equations. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, POTENTIAL THEORY), ANALYTIC FUNCTIONS, SPECIAL FUNCTIONS(MATHEMATICAL), MEASURE THEORY, POLYNOMIALS, SERIES(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE