scholarly journals Renormalization and Mellin Transforms

2013 ◽  
pp. 195-223 ◽  
Author(s):  
Dirk Kreimer ◽  
Erik Panzer
Keyword(s):  
Mellin Transforms

On Hankel and Mellin transforms

1978 ◽  
Vol 9 (2) ◽  
pp. 139-145
Author(s):  
N. Mullineux ◽  
J.R. Reed
Keyword(s):  
Mellin Transforms

Mellin transforms over Cayley-Dickson algebras

2008 ◽  
Vol 77 (2) ◽  
pp. 249-253
Author(s):  
S. V. Lyudkovskii
Keyword(s):  
Mellin Transforms

scholarly journals Mellin Transforms of Whittaker Functions

2002 ◽  
Vol 45 (3) ◽  
pp. 364-377
Author(s):  
Anton Deitmar
Keyword(s):  
Lie Group ◽  
Meromorphic Functions ◽  
Whittaker Functions ◽  
Mellin Transforms ◽  
Reductive Lie Group

AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.

scholarly journals Characterizations of the Cauchy distribution associated with integral transforms

2020 ◽  
Vol 57 (3) ◽  
pp. 385-396
Author(s):  
Kazuki Okamura
Keyword(s):  
Cauchy Distribution ◽  
Integral Transforms ◽  
Mellin Transforms ◽  
Cauchy Model

AbstractWe give two new simple characterizations of the Cauchy distribution by using the Möbius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution and the mixture Cauchy model.

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