Heat semigroups on Weyl algebra

DOI10.1016/j.geomphys.2020.104044zbMath1456.58020arXiv2008.12344OpenAlexW3082420049MaRDI QIDQ2223763

Ivan G. Avramidi

Publication date: 1 February 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12344

zbMATH Keywords

heat kernelspectral asymptoticsheat semigroupLaplace type operatorscombined heat tracesrelative spectral invariants

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of PDEs on manifolds (58J90) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37) Isospectrality (58J53)

Cites Work

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• Heat determinant on manifolds
• Quantum heat traces
• Topics in noncommutative algebra. The theorem of Campbell, Baker, Hausdorff and Dynkin
• Heat kernel on homogeneous bundles over symmetric spaces
• Continuous families of isospectral metrics on simply connected manifolds
• Relative spectral invariants of elliptic operators on manifolds
• Quantum Field Theory in Curved Spacetime
• Heat Kernel Method and its Applications
• One cannot hear the shape of a drum
• Erratum: “Covariant algebraic method for calculation of the low-energy heat kernel” [J. Math. Phys. 36, 5055–5070 (1995)]
• Bogolyubov invariant via relative spectral invariants on manifolds

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