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.
General
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