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Heat Kernels and Spectral Theory.

Heat Kernels and Spectral Theory.

・ISBN 978-0-521-40997-1 1990 paper GB£ 57.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-56615-8

著者・編者Davies, E. B.,
シリーズCambridge Tracts in Mathematics
出版社(Cambridge University Press, UK)
ページ数208 pp.
言語ENG
ニュース番号<M25-9427>

解説

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 Schroedinger 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.