
Accession Number : AD0652819
Title : ON GENERALIZED FUNCTIONS.
Descriptive Note : APL library bulletin translations series,
Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
Personal Author(s) : Nasr,Saad K.
Report Date : 11 APR 1967
Pagination or Media Count : 8
Abstract : Let S sub lambda (x) = (K/lambda) exp ( lambda squared/lambda squared x squared)) if the absolute value of x < lambda; otherwise, S sub lambda (x) = 0; S sub lambda dx = 1. The author defines a gfunction as a series (phi sub n) of functions infinitely differentiable on the line such that limit as n approaches infinity, of (phi sub n) * S sub lambda (x) exists for every lambda > o, x > minus infinity but < + infinity. It is found that the gfunctions are closely associated with the generalized functions of temple. (Author)
Descriptors : (*FUNCTIONAL ANALYSIS, MATHEMATICS), SEQUENCES(MATHEMATICS), THEOREMS, INEQUALITIES, CONVERGENCE
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE