Expansions of distributions in terms of generalized heat polynominals and their Appell transforms. (1980)

• Record Type: Journal Article
• Authors: Pathak, R. S.; Debnath, Lokenath
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 3:Number 4(1980)
• Page Start: 773
• Page End: 787
• Publication Date: 1980
• Subjects: expansion of distributions (or generalized functions) -- generalized heat polynomials and their Appell transforms -- orthogonal series expansion of generalized functions and generalized integral transformation; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171280000567
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : This paper is concerned with expansions of distributions in terms of the generalized heat polynomials and of their Appell transforms. Two different techniques are used to prove theorems concerning expansions of distributions. A theorem which provides an orthogonal series expansion of generalized functions is also established. It is shown that this theorem gives an inversion formula for a certain generalized integral transformation.