Smeared heat-kernel coefficients on the ball and generalized cone

DOI10.1063/1.1285969zbMath1011.58015arXivhep-th/9803094OpenAlexW2045773988MaRDI QIDQ2774669

Klaus Kirsten, J. Stuart Dowker

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/9803094

zbMATH Keywords

smeared heat-kernel coefficientssmeared zeta functions

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items

Heat kernel expansion: user's manual, Heat kernel coefficients for Laplace operators on the spherical suspension, Heat kernel asymptotics with mixed boundary conditions

Cites Work

• Heat-kernels and functional determinants on the generalized cone
• Gauge theories on manifolds with boundary
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• A DeWitt expansion of the heat kernel for manifolds with a boundary
• Asymptotic expansion of the heat kernel for generalized boundary conditions
• Boundary terms in the heat kernel expansion
• Conformal transformations and the effective action in the presence of boundaries
• b ₈ 'Hamidew' coefficient for a scalar field
• Heat Operator Trace Expansions and Index for General Atiyah–Patodi–Singer Boundary Problems
• Spectral asymmetry and Riemannian Geometry. I
• The heat kernel coefficient on a manifold with boundary
• New invariants in the 1-loop divergences on manifolds with boundary
• Heat-kernel coefficients for oblique boundary conditions
• Index-free heat kernel coefficients
• The a _3/2 heat kernel coefficient for oblique boundary conditions
• Lack of strong ellipticity in Euclidean quantum gravity
• Heat kernel coefficients of the Laplace operator on the D-dimensional ball
• The Asymptotics of The Laplacian on a Manifold with Boundary