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Paley–Wiener theorems and uncertainty principles for the windowed linear canonical transform
Author(s) -
Kou KitIan,
Xu RuiHui,
Zhang YanHui
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2642
Subject(s) - mathematics , inverse , poisson distribution , interpolation (computer graphics) , algebra over a field , pure mathematics , statistics , computer science , artificial intelligence , motion (physics) , geometry
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.