A Borel-like estimate for the rest of the heat kernel expansion

DOI10.1063/1.530737zbMath0797.58082OpenAlexW1991751527MaRDI QIDQ4296104

A. P. C. Malbouisson

Publication date: 15 June 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530737

zbMATH Keywords

asymptotic expansionheat kernelBorel series

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Abel, Borel and power series methods (40G10) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (2)

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Cites Work

• The spectrum of positive elliptic operators and periodic bicharacteristics
• Zeta function regularization of path integrals in curved spacetime
• On the heat equation and the index theorem
• Time evolution kernels: uniform asymptotic expansions
• Comment on ‘‘Some results from a Mellin transform expansion for the heat kernel’’ [J. Math. Phys. 3 0, 1226 (1989)]
• An improvement of Watson’s theorem on Borel summability
• A Mellin transform technique for the heat kernel expansion
• The Asymptotics of The Laplacian on a Manifold with Boundary
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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