International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 1, Pages 95-99

The n-dimensional distributional Mellin transformation

Sunil Kumar Sinha

Department of Mathematics, Tata college Chaibasa, Singhbhum, Bihar 833202, India

Received 20 July 1981

Copyright © 1983 Sunil Kumar Sinha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual Mc,d The standard theorems on analyticity, uniqueness and continuity are proved. A necessary and sufficient condition for a function to be an n-dimensional Mellin transformation is proved by the help of a boundedness property for distribution in Mc,d. Some operational transform formulas are also introduced.