zbMATH — the first resource for mathematics

Heat kernel asymptotics and some applications to mathematical physics. (English) Zbl 1316.58001
Potsdam: Univ. Potsdam, Mathematisch-Naturwissenschaftliche Fakultät (Habil.). not consecutively paged. (2011).
This Habilitationsschrift gives an overview of the author’s scientific work concerning heat kernel asymptotics connections with torsion and the spectral action principle and other related topics.
See the author’s extensive references in the Habilitationsschrift.
58-02 Research exposition (monographs, survey articles) pertaining to global analysis
58J35 Heat and other parabolic equation methods for PDEs on manifolds
58J90 Applications of PDEs on manifolds
58J37 Perturbations of PDEs on manifolds; asymptotics
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis