An alternative description of Gabor spaces and Gabor-Toeplitz operators

DOI10.1016/S0034-4877(10)80029-1zbMath1242.42016MaRDI QIDQ540806

Mária Hutníková, Ondrej Hutník

Publication date: 3 June 2011

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

short-time Fourier transformlocalization operatorWick calculusHilbert space decompositionGabor spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (11)

Wavelets from Laguerre polynomials and Toeplitz-type operators ⋮ Harmonic analysis problems associated with the \(k\)-Hankel Gabor transform ⋮ On Toeplitz localization operators ⋮ A Wiener Tauberian theorem for operators and functions ⋮ On the range of Stockwell transforms ⋮ \(k\)-Hankel Gabor transform and its applications to the theory of localization operators ⋮ Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group ⋮ Toeplitz localization operators: spectral functions density ⋮ \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) and its applications to the reproducing kernel theory ⋮ Interpolation in wavelet spaces and the HRT-conjecture ⋮ Continuous Stockwell transform: Coherent states and localization operators

Cites Work

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