Spaces of type \(W\), growth of Hermite coefficients, Wigner distribution, and Bargmann transform

DOI10.1016/0022-247X(90)90071-MzbMath0749.46027OpenAlexW2036517111MaRDI QIDQ1813578

S. J. L. van Eijndhoven, Augustus J. E. M. Janssen

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90071-m

zbMATH Keywords

Fourier transformsWigner distributionsBargmann transformsHermite expansion coefficientsYoung's dual function

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (13)

Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Differential and analytical properties of semigroups of operators ⋮ Paley-Wiener properties for spaces of entire functions ⋮ Relations between Hermite and Laguerre expansions of ultradistributions over \(\mathbb R^d\) and \(\mathbb R^d_+\) ⋮ On a space of entire functions rapidly decreasing on \(\mathbb R^n\) and its Fourier transform ⋮ Paley–Wiener properties for spaces of power series expansions ⋮ The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ Images of function and distribution spaces under the Bargmann transform ⋮ Hardy’s theorem and rotations ⋮ On uncertainty bounds and growth estimates for fractional fourier transforms ⋮ On a Group of Unitary Deformations ⋮ The Weyl product on quasi-Banach modulation spaces

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