Then-dimensional distributional Mellin transformation
1983 ◽
Vol 6
(1)
◽
pp. 95-99
Keyword(s):
Then-dimensional distributional Mellin transformation is developed using the testing function spaceMc,dand its dualM′c,dThe standard theorems on analyticity, uniqueness and continuity are proved. A necessary and sufficient condition for a function to be ann-dimensional Mellin transformation is proved by the help of a boundedness property for distribution inM′c,d. Some operational transform formulas are also introduced.
2007 ◽
Vol 49
(3)
◽
pp. 431-447
◽
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
◽