The n -dimensional distributional Mellin transformation

Sunil Kumar Sinha

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-5

Abstract:

The n -dimensional distributional Mellin transformation is developed using the testing function space M c , 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.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:264536

DOI: 10.1155/S0161171283000071

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