Hilbert-schimdt and trace class pseudo-differential operators and Weyl transforms on the affine group

DOI10.1007/S11868-021-00380-4OpenAlexW3129610478MaRDI QIDQ2030006

Aparajita Dasgupta, Santosh Kumar Nayak, Man-Wah Wong

Publication date: 4 June 2021

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-021-00380-4

zbMATH Keywords

Fourier transformtraceaffine grouptrace class operatorWigner transformWeyl transformFourier-Wigner transformDuflo-Moore operatorsHilbert-schimdt operator

Mathematics Subject Classification ID

Pseudodifferential operators (47G30)

Related Items (4)

L²-L^p estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group ⋮ Unnamed Item ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the similitude group, \(\mathbb{SIM}(2)\)

Cites Work

• Unnamed Item
• Wavelet transforms and localization operators
• On the regular representation of a nonunimodular locally compact group
• Weyl transforms
• Adiabatic perturbation theory in quantum dynamics
• Hilbert-Schmidt and trace class pseudo-differential operators on the Heisenberg group
• Pseudo-differential operators on finite abelian groups
• Weyl transforms for H-type groups
• Pseudo-Differential Operators on the Affine Group
• An Introduction to Pseudo-Differential Operators

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