Generalizations of the fractional Fourier transform and their analytic properties

Autor:	Zhou, Yue
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Representation Theory 42B10 42B20 42B25
Druh dokumentu:	Working Paper
Popis:	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. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.11201 Zobrazit plný text záznamu View this record from Arxiv