
Accession Number : AD0709716
Title : APPLICATION OF LAPLACE OPERATORS.
Descriptive Note : Final status rept. 1 Jul 6631 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 CauchyRiemann 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