Mellin transform for Boehmians
by R. Roopkumar  

Vol. 4 No. 1 (2009) P.75~P.96

ABSTRACT

A suitable Boehmian space is constructed to extend the distributional Mellin transform. Mellin transform of a Boehmian is defined as a quotient of analytic functions. We prove that the generalized Mellin transform has all its usual properties. We also discuss the relation between the Mellin transform and the Laplace transform in the context of Boehmians.

KEYWORDS
Boehmians, convolution, distributions, Radon transforms

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 44A12, 44A90, 40F12

MILESTONES

Received: 2008-06-13
Revised :
Accepted: 2008-09-16

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