International Journal of Nonlinear Analysis and Applications
Discrete wave packets on non-Archimedean fields
Document Type : Research Paper
Authors
Department of Mathematics, National Institute of Technology, Srinagar-190006, India
10.22075/ijnaa.2022.23685.2581
Abstract
In this paper, we introduce a comprehensive theory of discrete wave packet systems on non-Archemedean fields by exploiting the machinery of Fourier transforms. We also define discrete periodic wave packet transform. A characterization of the system to be a Parseval frame and discrete periodic wave packet frame for $\ell^2(\mathcal Z)$ are obtained.
Keywords
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Articles in Press, Corrected Proof
Available Online from 17 November 2024
- Receive Date: 14 June 2021
- Revise Date: 18 July 2021
- Accept Date: 18 March 2022