Quantum Euclidean spaces with noncommutative derivatives

DOI10.4171/JNCG/459WikidataQ114021469 ScholiaQ114021469MaRDI QIDQ2140249

Yanyan Li

Publication date: 20 May 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07775

zbMATH Keywords

noncommutative geometryindex theoryquantum Euclidean spacespseudo-differential operatorsspectral triplesMoyal plane

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Noncommutative differential geometry (46L87) Exotic index theories on manifolds (58J22) Deformation quantization, star products (53D55) Noncommutative geometry (à la Connes) (58B34) Pseudodifferential operators (47G30)

Related Items (3)

Nonlinear partial differential equations on noncommutative Euclidean spaces ⋮ Fourier restriction estimates on quantum Euclidean spaces ⋮ Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group

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