L^1-Convergence of Double Fourier Transform in L^p (R) Spaces, p≥1

In this research article, we have given a method which restrict the double fourier transform of fϵL^p (R) spaces, 1≤p≤∞ . Further, we have discussed the convergence by using the approximate identities. The aim of this paper is to extend the results of K. Devendra and S. Dimple[3] from one dimensional to two-dimensional trigonometric series.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-09-18
DOI
https://doi.org/10.52783/cana.v32.1681
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

L^1-Convergence of Double Fourier Transform in L^p (R) Spaces, p≥1

Sakshi Sakshi
Communications on Applied Nonlinear Analysis
Differential Equations and Boundary Problems
article

L^1-Convergence of Double Fourier Transform in L^p (R) Spaces, p≥1

Sakshi Sakshi
article en

Abstract

In this research article, we have given a method which restrict the double fourier transform of fϵL^p (R) spaces, 1≤p≤∞ . Further, we have discussed the convergence by using the approximate identities. The aim of this paper is to extend the results of K. Devendra and S. Dimple[3] from one dimensional to two-dimensional trigonometric series.

Communications on Applied Nonlinear AnalysisVol. 32(1)
Openalex Percentile: Top 72%
Differential Equations and Boundary Problems
DOIOpen Access PDFOpenAlex
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L^1-Convergence of Double Fourier Transform in L^p (R) Spaces, p≥1 — Sakshi Sakshi · Communications on Applied Nonlinear Analysis (2024) | TGRS Research Map | TGRS