On the Frame Set for the 3-Spline

Atindehou, Abdou Ganiou Débayo (2022) On the Frame Set for the 3-Spline. Applied Mathematics, 13 (05). pp. 377-400. ISSN 2152-7385

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Abstract

This paper investigates the fine structure of the Gabor frame generated by the B-spline B3. In other words, one extends the known part of the Gabor frame set for the 3-spline with the construction of the compactly supported dual windows. The frame set of the function B3 is the subset of all parameters (a,b) ∈ R2+ for which the time-frequency shifts of B3 along aZ × bZ form a Gabor frame for L2(R).

Item Type: Article
Subjects: Institute Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 27 Jan 2023 05:01
Last Modified: 19 Jun 2024 11:34
URI: http://eprint.subtopublish.com/id/eprint/745

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