Inversion of the short-time Fourier transform using Riemannian sums

DOI10.1007/s00041-006-6105-yzbMath1138.42015OpenAlexW2010425536WikidataQ115389190 ScholiaQ115389190MaRDI QIDQ2385005

Ferenc Weisz

Publication date: 11 October 2007

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-006-6105-y

zbMATH Keywords

Wiener amalgam spaceWiener algebramodulation spaceFeichtinger's algebra

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (11)

Convergence of wavelet frame operators as the sampling density tends to infinity ⋮ Inversion formula for the windowed Fourier transform. II ⋮ Evolution equations on Gabor transforms and their applications ⋮ Reproducing kernels and variable bandwidth ⋮ An alternative description of Gabor spaces and Gabor-Toeplitz operators ⋮ Convergence of Riemannian sums of inverse wavelet transforms ⋮ Functions of variable bandwidth via time-frequency analysis tools ⋮ Constructive realization of dual systems for generators of multi-window spline-type spaces ⋮ Inversion of the wavelet transform using Riemannian sums ⋮ Asymptotic properties of Gabor frame operators as sampling density tends to infinity ⋮ A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers

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