International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 1, Pages 95-99
doi:10.1155/S0161171283000071
The n-dimensional distributional Mellin transformation
Sunil Kumar Sinha
Department of Mathematics, Tata college Chaibasa, Singhbhum, Bihar 833202, India
Abstract
The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,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 M′c,d. Some operational transform formulas are also introduced.