Shift-Invariant and Sampling Spaces Associated With the Fractional Fourier Transform Domain

DOI10.1109/TSP.2011.2177260zbMath1393.94672OpenAlexW1999198554MaRDI QIDQ4573606

Ayush Bhandari, Ahmed I. Zayed

Publication date: 18 July 2018

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tsp.2011.2177260

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Numerical methods for discrete and fast Fourier transforms (65T50) Sampling theory in information and communication theory (94A20)

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On foundational discretization barriers in STFT phase retrieval ⋮ Sampling and reconstruction in reproducing kernel subspaces of mixed Lebesgue spaces ⋮ Determination of compactly supported functions in shift-invariant space by single-angle Radon samples ⋮ Shift-invariant and sampling spaces associated with the special affine Fourier transform ⋮ Poisson summation formulae associated with the special affine Fourier transform and offset Hilbert transform ⋮ Convolution systems on discrete abelian groups as a unifying strategy in sampling theory ⋮ Sampling in the range of the analysis operator of a continuous frame having unitary structure ⋮ ON UNIFORM SAMPLING IN SHIFT-INVARIANT SPACES ASSOCIATED WITH THE FRACTIONAL FOURIER TRANSFORM DOMAIN ⋮ A sampling theory for non-decaying signals in mixed Lebesgue spaces

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