ON GENERALIZED FUNCTIONS.
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 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 11, 1967
- Accession Number
- AD0652819
Entities
People
- Saad K. Nasr
Organizations
- Johns Hopkins University Applied Physics Laboratory