Hardy’s theorem and rotations

DOI10.1090/S0002-9939-05-08098-6zbMath1089.42002OpenAlexW2083735744MaRDI QIDQ3372132

Jeffrey A. Hogan, Joseph D. Lakey

Publication date: 17 February 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08098-6

zbMATH Keywords

uncertainty principleHardy theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (8)

Boundedness and uniqueness of quaternion Weyl transform ⋮ A simple observation on the uncertainty principle for the fractional Fourier transform ⋮ Uncertainty principles for orthonormal sequences ⋮ Donoho-Stark and Paley-Wiener theorems for the \(G\)-transform ⋮ Hardy's theorem and rotations of several complex variables ⋮ A note on Hardy's theorem and rotations ⋮ Uniqueness results in an extension of Pauli's phase retrieval problem ⋮ Hardy's theorem and rotation for Dunkl transform

Cites Work

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• Harmonic analysis on the Heisenberg group
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• Hardy's uncertainty principle on semisimple groups
• Spaces of type \(W\), growth of Hermite coefficients, Wigner distribution, and Bargmann transform
• Uncertainty principles on certain Lie groups
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• Hardy’s theorem for the 𝑛-dimensional Euclidean motion group
• Hardy's Uncertainty Principle on Certain Lie Groups

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