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arXiv · 2409.11201

Generalizations of the fractional Fourier transform and their analytic properties

Yue Zhou
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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.

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Yue Zhou. 2024-09-17. Generalizations of the fractional Fourier transform and their analytic properties. https://arxiv.org/abs/2409.11201

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