Mapping properties for the Bargmann transform on modulation spaces

DOI10.1007/s11868-011-0039-0zbMath1260.42014OpenAlexW1998639520MaRDI QIDQ1758392

Joachim Toft, Mikael Signahl

Publication date: 9 November 2012

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-011-0039-0

zbMATH Keywords

Toeplitz operatorharmonic oscillatorweightshort-time Fourier transformmodulation spaceBargmann transformtranslation invariant BF-space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral transforms of special functions (44A20)

Related Items (13)

Study of twisted Bargmann transform via Bargmann transform ⋮ Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels ⋮ Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces ⋮ The Faber-Krahn inequality for the short-time Fourier transform ⋮ Characterizations of a class of Pilipović spaces by powers of harmonic oscillator ⋮ \(\mathcal{L}\)-invariant and radial singular integral operators on the Fock space ⋮ A characterization of translation and modulation invariant Hilbert space of tempered distributions ⋮ The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators ⋮ Images of function and distribution spaces under the Bargmann transform ⋮ Compactness properties for modulation spaces ⋮ Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators ⋮ On the Inverse to the Harmonic Oscillator ⋮ A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers

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