Accession Number : AD0648672

Title :   FOURIER TRANSFORMS, GENERALIZED FUNCTIONS AND TWO CLASSES OF INTEGRAL EQUATIONS, PART I.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Pao,Young-ping

Report Date : FEB 1967

Pagination or Media Count : 27

Abstract : This report is concerned with some Wiener-Hopf type integral equations for which the Fourier transforms of the solutions must be considered as generalized functions. The proper fundamental spaces are studied together with the structure of the generalized functions on these spaces. These results will be used in another paper to obtain the solutions to some Wiener-Hopf equations.

Descriptors :   (*INTEGRAL TRANSFORMS, FUNCTIONS(MATHEMATICS)), INTEGRAL EQUATIONS, THEOREMS, INEQUALITIES, SEQUENCES(MATHEMATICS), MAPPING(TRANSFORMATIONS), TOPOLOGY, INTEGRALS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE