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:

1967-04-11

Pagination or Media Count:

8.0

Abstract:

Let S sub lambda x Klambda exp - lambda squaredlambda 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 g-function 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 g-functions 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