A study on the adjoint of pseudo-differential operators on compact lie groups

DOI10.1080/17476933.2017.1376188zbMath1439.22020OpenAlexW2758456206WikidataQ115294998 ScholiaQ115294998MaRDI QIDQ4580014

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Publication date: 13 August 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1376188

zbMATH Keywords

unitary operatorself-adjointnesspseudo-differential operatorcompact Lie groupnormal operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analysis on real and complex Lie groups (22E30) Compact groups (22C05) Pseudodifferential operators (47G30) Harmonic analysis on general compact groups (43A77)

Related Items (3)

Pseudo-differential analysis of bounded linear operators from \(L^{p_1}(\mathbb{S}^1)\) into \(L^{p_2}(\mathbb{S}^1)\) ⋮ \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type ⋮ Characterizations of pseudo-differential operators on \(\mathbb{S}^1\) based on separation-preserving operators

Cites Work

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• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• Quantization of pseudo-differential operators on the torus
• \(L^p\)-estimates for pseudo-differential operators on \({\mathbb{Z}^n}\)
• A study on the adjoint of pseudo-differential operators on \(\mathbb {S}^{1}\) and \(\mathbb {Z}\)
• \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
• $L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
• Discrete Fourier Analysis
• On the Fourier Analysis of Operators on the Torus
• Pseudo-Differential Operators and Symmetries
• Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces
• An Introduction to Pseudo-Differential Operators

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