Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group
DOI10.1016/J.BULSCI.2023.103255OpenAlexW4324371427MaRDI QIDQ2698038
Aparajita Dasgupta, Santosh Kumar Nayak
Publication date: 14 April 2023
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.03658
trace-class operatorunitary representationspseudo-differential operatorHilbert-Schmidt operatoraffine Poincáre groupDuflo-Moore operator
Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential operators (47G30)
Related Items (1)
Cites Work
- Unnamed Item
- Quantization on nilpotent Lie groups
- Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups
- Traceable integral kernels on countably generated measure spaces
- Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group
- On the regular representation of a nonunimodular locally compact group
- Weyl transforms
- Schatten classes and traces on compact groups
- Pseudo-differential operators, Wigner transforms and Weyl transforms on the Poincaré unit disk
- Hilbert-schimdt and trace class pseudo-differential operators and Weyl transforms on the affine group
- Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups
- Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups
- Pseudo-differential operators, Wigner transform and Weyl transform on the similitude group, \(\mathbb{SIM}(2)\)
- Hilbert-Schmidt and trace class pseudo-differential operators on the Heisenberg group
- \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)
- Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary
- Pseudo-differential operators associated to general type I locally compact groups
- Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
- \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
- -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS
- Multilinear analysis for discrete and periodic pseudo-differential operators inLp-spaces
- Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces
- Pseudo-Differential Operators on the Affine Group
- Pseudo‐differential operators
- An Introduction to Pseudo-Differential Operators
- An algebra of pseudo‐differential operators
- The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory
- L2-Lp estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group
This page was built for publication: Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group