Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group (Q2698038)

scientific article; zbMATH DE number 7674701

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English	Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group	scientific article; zbMATH DE number 7674701

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instance of

scholarly article

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title

Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group (English)

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Bulletin des Sciences Mathématiques

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publication date

14 April 2023

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full work available at URL

https://arxiv.org/abs/2207.03658

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zbMATH Keywords

affine Poincáre group

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unitary representations

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pseudo-differential operator

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Duflo-Moore operator

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Hilbert-Schmidt operator

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trace-class operator

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MaRDI profile type

Publication

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cites work

Traceable integral kernels on countably generated measure spaces

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Multilinear analysis for discrete and periodic pseudo-differential operators inLp-spaces

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\(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)

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The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory

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

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

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Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group

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Pseudo-Differential Operators on the Affine Group

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Hilbert-Schmidt and trace class pseudo-differential operators on the Heisenberg group

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-BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS

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\(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups

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Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary

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Schatten classes and traces on compact groups

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On the regular representation of a nonunimodular locally compact group

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Quantization on nilpotent Lie groups

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Pseudo‐differential operators

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Q3509647

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An algebra of pseudo‐differential operators

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L<sup>2</sup>-L<sup>p</sup> estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group

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Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups

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Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups

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Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups

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Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups

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Pseudo-differential operators associated to general type I locally compact groups

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Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces

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

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Weyl transforms

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An Introduction to Pseudo-Differential Operators

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.BULSCI.2023.103255

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Sitelinks

Mathematics(1 entry)

mardi Publication:2698038