On the Ranges of Mellin Multiplier Transformations
Journal of Mathematical Analysis and Applications, 1996 A transformation \(T \in [{\mathfrak L}_{\mu, k}]\) such that \((MTf) (s) = m(s) (Mf) (s)\) is called a multiplier transformation in connection with the Mellin transformation \(M\). For the cases in which \(m(s)\) has multiple zeros, theorems concerning the ranges of such multiplier transformations are given here.
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MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
Наука и техника, 2009 The paper is to study application of a general scheme pertaining to integral transform construction with the purpose to obtain the well-known Mellin transform.A determining factor of its construction is a linear differential operator T = t d/dt in the ...
A. S. Gakhovich
doaj
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