Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.

The heat kernel has long been an essential tool in both classical and modern mathematics but has become especially important in geometric analysis as a result o

This text discusses spectral graph theory.

This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introdu

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