Generalizations of the fractional Fourier transform and their analytic properties
Classical Analysis and ODEs
2024-09-18 v1 Representation Theory
Abstract
We consider one-parameter families of quadratic-phase integral transforms which generalize the fractional Fourier transform. Under suitable regularity assumptions, we characterize the one-parameter groups formed by such transforms. Necessary and sufficient conditions for continuous dependence on the parameter are obtained in L2, pointwise, and almost-everywhere senses.
Keywords
Cite
@article{arxiv.2409.11201,
title = {Generalizations of the fractional Fourier transform and their analytic properties},
author = {Yue Zhou},
journal= {arXiv preprint arXiv:2409.11201},
year = {2024}
}
Comments
22 pages