Ultrarapidly decreasing ultradifferentiable functions, Wigner distributions and density matrices

DOI10.1112/JLMS/JDN036zbMath1170.46007arXivmath/0703884OpenAlexW3103658857MaRDI QIDQ3531443

Jean-Marie Aubry

Publication date: 31 October 2008

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703884

zbMATH Keywords

density matrixultradifferentiable functionsHermite functionsWigner distributionFock basis

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Graded Fréchet spaces and tame operators (46A61)

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Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting ⋮ Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis

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