MULTIDIMENSIONAL FOURIER TRANSFORMS ON AN AMALGAM TYPE SPACE

DOI10.32523/2077-9879-2019-10-4-63-74zbMath1463.42018OpenAlexW3011479732MaRDI QIDQ5118653

Elijah Liflyand

Publication date: 26 August 2020

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj348

zbMATH Keywords

Fourier transformintegrabilitybounded variationtrigonometric seriesYoung inequalityamalgam space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• Fourier transforms on an amalgam type space
• Functions of bounded variation and their Fourier transforms
• Integrability spaces for the Fourier transform of a function of bounded variation
• Multiple Fourier transforms and trigonometric series in line with Hardy’s variation
• Lectures on Fourier Integrals. (AM-42)
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Integrability theorems for trigonometric series
• Decay of the Fourier Transform

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