Quantitative uncertainty principles related to Lions transform

DOI10.1007/S40598-022-00202-5zbMath1504.42009OpenAlexW4224114697MaRDI QIDQ2101705

Radouan Daher, N. Safouane, Azzedine Achak, Ahmed Abouelaz

Publication date: 6 December 2022

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

Full work available at URL: https://doi.org/10.1007/s40598-022-00202-5

zbMATH Keywords

Donoho-Stark's uncertainty principleBenedicks theoremLions transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• Beurling's theorem for the Bessel-Struve transform
• On support properties of functions and their Jacobi transform
• Strong annihilating pairs for the Fourier-Bessel transform
• Inversion of the Lions transmutation operators using generalized wavelets
• A survey on uncertainty principles related to quadratic forms
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• The uncertainty principle: A mathematical survey
• The convolution structure for Jacobi function expansions
• Uncertainty Principles and Signal Recovery
• Interpolation of Linear Operators
• Heisenberg-type inequalities for the Weinstein operator
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
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