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2009 / March Volume 4 No.1
Mellin transform for Boehmians
Published Date
2009 / March
Title
Mellin transform for Boehmians
Author
R. Roopkumar
Keyword
Boehmians, convolution, distributions, Radon transforms., Boehmians, convolution, distributions, Radon transforms
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Pagination
75-96
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.
AMS Subject
Classification
44A12, 44A90, 40F12
Received
2008-06-13
Accepted
2008-09-16
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