Heat Kernels For Elliptic And Sub Elliptic Operators
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Heat Kernels for Elliptic and Sub-elliptic Operators
Author: Ovidiu Calin
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-10-10
This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.
Heat Kernels and Spectral Theory
Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.
Heat Kernels and Dirac Operators
Author: Nicole Berline
language: en
Publisher: Springer Science & Business Media
Release Date: 2003-12-08
In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.