Parametrix, kernel asymptotics, and regularized trace for the diffusion semigroup

DOI10.1134/S1064562408030289zbMath1163.35402MaRDI QIDQ954209

S. A. Stepin

Publication date: 10 November 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

path integralregularized trace of the semigroup

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Two-sided estimates for the trace of the difference of two semigroups ⋮ Parametrix, heat kernel asymptotics, and regularized trace of the diffusion semigroup ⋮ Short-time Asymptotics for Semigroups of Diffusion Type and Beyond

Cites Work

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• The spectrum of resonances and the trace formula in a potential scattering problem
• Curvature and the eigenvalues of the Laplacian
• Une formule de traces pour l'opérateur de Schrödinger dans $\mathbb{R}^3$
• REGULARIZED TRACES AND TAYLOR EXPANSIONS FOR THE HEAT SEMIGROUP
• Existence of resonances in potential scattering

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