Minakshisundaram-Pleijel coefficients for non-compact higher rank symmetric spaces

DOI10.1007/s13324-020-00396-xzbMath1450.53058OpenAlexW3092193544MaRDI QIDQ2204967

Floyd L. Williams

Publication date: 16 October 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-020-00396-x

zbMATH Keywords

Weyl groupasymptotic expansionone-loop effective potentialtheta functionzeta functionheat kernelsemisimple Lie groupRiemannian symmetric spaceMinakshisundaram-Pleijel coefficients

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Differential geometry of symmetric spaces (53C35) General properties and structure of real Lie groups (22E15) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

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• ONE-LOOP EFFECTIVE POTENTIAL FOR SCALAR AND VECTOR FIELDS ON HIGHER-DIMENSIONAL NONCOMMUTATIVE FLAT MANIFOLDS
• The Minakshisundaram-Pleijel Coefficients for the Vector Valued Heat Kernel on Compact Locally Symmetric Spaces of Negative Curvature
• Zeta-function regularization and the thermodynamic potential for quantum fields in symmetric spaces
• Asymptotics of the heat kernel on rank-1 locally symmetric spaces
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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