On function spaces with fractional Fourier transform in weighted Lebesgue spaces

DOI10.1186/s13660-015-0609-4zbMath1335.46026OpenAlexW2167318590WikidataQ59424904 ScholiaQ59424904MaRDI QIDQ2262965

Ayşe Sandıkçı, Erdem Toksoy

Publication date: 17 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0609-4

zbMATH Keywords

convolutionfractional Fourier transformBanach module

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

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Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform, A note on continuous fractional wavelet transform in ℝn

Cites Work

• On a family of weighted convolution algebras
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Fractional fourier transform of generalized functions
• Sums and Intersections of Normed Linear Spaces
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