The Weyl Transform and L p Functions on Phase Space

DOI10.2307/2159487zbMath0815.46030OpenAlexW4243018401MaRDI QIDQ4027754

Barry Simon

Publication date: 1 March 1993

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

Full work available at URL: https://doi.org/10.2307/2159487

zbMATH Keywords

boundBirman-Schwinger principleWeyl transformWigner distribution functionsbound state problemsCwikel's theoremYukawa quantum field theories

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Model quantum field theories (81T10) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items (13)

Boundedness and uniqueness of quaternion Weyl transform ⋮ Weyl operator associated with index Whittaker transform ⋮ Wigner-Ville distribution function in the framework of linear canonical transform ⋮ Singular values of compact pseudodifferential operators ⋮ Weyl transforms associated with Dunkl wavelet transform ⋮ Localization operator and Weyl transform on reduced Heisenberg group with multidimensional center ⋮ Anti-Wick quantization with symbols in $L^p$ spaces ⋮ Semiclassical regularization of Vlasov equations and wavepackets for nonlinear Schrödinger equations ⋮ Weyl transforms associated with the Heisenberg group ⋮ Weyl transforms on the upper half plane ⋮ On the Weyl transform for rotationally invariant symbols ⋮ Weyl transforms and the products of two wavelet multiplier operators on locally compact abelian topological groups ⋮ Weyl transform and generalized spectrogram associated with quaternion Heisenberg group

This page was built for publication: The Weyl Transform and L p Functions on Phase Space