Positivity of Weighted Wigner Distributions

DOI10.1137/0512063zbMath0471.42006OpenAlexW2016137717MaRDI QIDQ3924644

Augustus J. E. M. Janssen

Publication date: 1981

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0512063

zbMATH Keywords

Laguerre polynomialsHermite coefficientsnon-trivial weight function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis in one variable (42A99)

Related Items (9)

The Moyal representation of quantum mechanics and special function theory ⋮ Locally stationary stochastic processes and Weyl symbols of positive operators ⋮ What is the Wigner Function Closest to a Given Square Integrable Function? ⋮ The Linear Canonical Transformation: Definition and Properties ⋮ Separability, positivity, and minimum uncertainty in time–frequency energy distributions ⋮ Spaces of type \(W\), growth of Hermite coefficients, Wigner distribution, and Bargmann transform ⋮ Bounds on Integrals of the Wigner Function ⋮ Localization of multidimensional Wigner distributions ⋮ Wigner functions on non-standard symplectic vector spaces

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