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# 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

# 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

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#