Paley–Wiener theorems and uncertainty principles for the windowed linear canonical transform

KI Kou, RH Xu, YH Zhang - Mathematical Methods in the …, 2012 - Wiley Online Library
Mathematical Methods in the Applied Sciences, 2012Wiley Online Library
In a recent paper, the authors have introduced the windowed linear canonical transform and
shown its good properties together with some applications such as Poisson summation
formulas, sampling interpolation, and series expansion. In this paper, we prove the Paley–
Wiener theorems and the uncertainty principles for the (inverse) windowed linear canonical
transform. They are new in literature and has some consequences that are now under
investigation. Copyright© 2012 John Wiley & Sons, Ltd.
In a recent paper, the authors have introduced the windowed linear canonical transform and shown its good properties together with some applications such as Poisson summation formulas, sampling interpolation, and series expansion. In this paper, we prove the Paley–Wiener theorems and the uncertainty principles for the (inverse) windowed linear canonical transform. They are new in literature and has some consequences that are now under investigation. Copyright © 2012 John Wiley & Sons, Ltd.
Wiley Online Library
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