Accession Number : AD0695667

Title :   A DISTRIBUTION-THEORETICAL APPROACH TO CERTAIN LEBESGUE AND SOBOLEV SPACES.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Werner,Peter

Report Date : FEB 1969

Pagination or Media Count : 84

Abstract : The main object of the paper is to discuss some basic operations in the Hilbert space L sub 2 and in related Sobolev spaces by using only concepts of distribution theory without referring to Lebesgue integration. Special emphasis will be put on those aspects of the theory which seem to be relevant for applications to partial differential equations and spectral analysis of differential operators. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, *DISTRIBUTION THEORY), PARTIAL DIFFERENTIAL EQUATIONS, OPERATORS(MATHEMATICS), FOURIER ANALYSIS, HILBERT SPACE, INTEGRAL TRANSFORMS, NUMERICAL INTEGRATION, TOPOLOGY, SERIES(MATHEMATICS), THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE