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Heat Kernels and Spectral Theory

Heat Kernels and Spectral Theory

Paperback

Series: Cambridge Tracts in Mathematics, Book 92

CalculusGeneral MathematicsProbability & Statistics

ISBN10: 0521409977
ISBN13: 9780521409971
Publisher: Cambridge
Published: Nov 30 1990
Pages: 208
Weight: 0.69
Height: 0.48 Width: 6.00 Depth: 9.00
Language: English
An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators. While the study of the heat equation is a classical subject, this book analyses the improvements in our quantitative understanding of heat kernels. The author considers variable coefficient operators on regions in Euclidean space and Laplace-Beltrami operators on complete Riemannian manifolds. He also includes results pertaining to the heat kernels of Schrödinger operators; such results will be of particular interest to mathematical physicists, and relevant too to those concerned with properties of Brownian motion and other diffusion processes.

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Calculus