We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
L<sup>p</sup>-theory of linear canonical transforms and related uncertainty principles.
- Authors
Xuan Chen; Pei Dang; Weixiong Mai
- Abstract
In this paper, we revisit some fundamental properties of linear canonical transform (abbreviated as LCT). In particular, we prove the additive property rigorously for LCT in the higher dimensional case (abbreviated as MLCT). We also consider the Lp-theory of MLCT with 1 ≤ p ≤ 2. Specifically, the inversion theorem of MLCT by the related Gauss and Abel means is studied, and the pointwise convergence of approximate identities with respect to convolution for MLCT is also obtained. As applications, we study the Lp-type Heisenberg-Pauli-Weyl uncertainty principles and the Lp-type Donoho-Stark uncertainty principles for MLCT.
- Subjects
HEISENBERG uncertainty principle; BANACH algebras; ADDITIVES
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 7, p6272
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9920