On absolute convergence of multiple Fourier integrals
E. Liflyand
TL;DR
This paper establishes new sufficient conditions under which functions of multiple variables can be represented as absolutely convergent Fourier integrals, advancing the theoretical understanding of Fourier analysis.
Contribution
It introduces novel criteria for the absolute convergence of multiple Fourier integrals, expanding the existing theoretical framework.
Findings
Derived new sufficient conditions for absolute convergence
Enhanced understanding of Fourier integral representations
Potential applications in multivariate harmonic analysis
Abstract
New sufficient conditions for representation of a function of several variables as an absolutely convergent Fourier integral are obtained in the paper.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Advanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods