New approximation inversion formulas using Weinstein-Gabor transform

In this paper, we extend the one-dimensional Gabor transform discussed to the Weinstein harmonic analysis setting. We obtain the expected properties of extended Gabor transform such as inversion formula and Calderon’s reproducing formula.

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Publication Details

Journal
Open Journal of Mathematical Analysis
Published
2025-06-24
DOI
https://doi.org/10.30538/psrp-oma2025.0157
Primary Topic
Image and Signal Denoising Methods
Type
article
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article

New approximation inversion formulas using Weinstein-Gabor transform

Fethi Soltani
Open Journal of Mathematical Analysis
Image and Signal Denoising Methods
article

New approximation inversion formulas using Weinstein-Gabor transform

Fethi Soltani
article en

Abstract

In this paper, we extend the one-dimensional Gabor transform discussed to the Weinstein harmonic analysis setting. We obtain the expected properties of extended Gabor transform such as inversion formula and Calderon’s reproducing formula.

Open Journal of Mathematical AnalysisVol. 9(1)
Openalex Percentile: Top 87%
Image and Signal Denoising Methods
DOIOpen Access PDFOpenAlex
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New approximation inversion formulas using Weinstein-Gabor transform — Fethi Soltani · Open Journal of Mathematical Analysis (2025) | TGRS Research Map | TGRS