Let $T: L^2(\mathbb{R}^n) \rightarrow L^2(\mathbb{R}^n)$ be the Fourier transform. Is there any reasonable definition of fractional Fourier transform (i.e. operator $A$ such that $A^{\alpha}=T$ for $\alpha \in (0,1)$), and if there is, is it of any use?
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
|
1
1
|
|||||||||||
|
closed as no longer relevant by Yemon Choi, S. Carnahan♦, Steve Huntsman, Andy Putman, Harald Hanche-Olsen Apr 9 2010 at 18:31 |
