Pseudo-differential operators, Wigner transforms and Weyl transforms on the Poincaré unit disk

DOI10.1007/s11785-018-0777-6zbMath1466.47034OpenAlexW2792146050MaRDI QIDQ1743884

Shahla Molahajloo

Publication date: 16 April 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0777-6

zbMATH Keywords

Fourier transformPlancherel formulaCayley transformpseudo-differential operatoraffine groupWigner transformSchatten-von Neumann classFourier inversion formulaHilbert-Schmidt operatorWeyl transformoperator-valued symbolMoyal identityPoincaré unit disk

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Pseudodifferential operators (47G30)

Related Items (2)

Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the similitude group, \(\mathbb{SIM}(2)\)

Cites Work

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• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• On the regular representation of a nonunimodular locally compact group
• Weyl transforms
• Adiabatic perturbation theory in quantum dynamics
• Weyl pseudo-differential operator and Wigner transform on the Poincaré disk
• Hilbert-Schmidt and trace class pseudo-differential operators on the Heisenberg group
• Weyl transforms on the upper half plane
• Weyl transforms associated with the Heisenberg group
• $L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
• Pseudo-Differential Operators on the Affine Group
• An extension of Plancherel's formula to separable unimodular groups

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