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Does the Mellin transform have a half-iterate ?

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Does the Mellin transform have a half-iterate ?
tommy1729 Offline
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#4
05/07/2014, 11:42 PM
Also of intrest to me are integral transforms that are cyclic :

Like for almost all f,s and some transform M :

M^[3](f)(s) = f(s) but M^[1](f)(s) =/= f(s) and M^[2](f)(s) =/= f(s).

I assume this is consistant with Schwartz kernel theorem.

As Kernel I assume abelian functions could be used. And maybe some others too ?

regards

tommy1729
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RE: Does the Mellin transform have a half-iterate ? - by tommy1729 - 05/07/2014, 11:42 PM

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