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Author : E. B. Davies
Release : 1989
Genre : Mathematics
Kind : eBook
Book Rating : 971/5 ( reviews)
Book Synopsis Heat Kernels and Spectral Theory by : E. B. Davies
Download or read book Heat Kernels and Spectral Theory written by E. B. Davies. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt: Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.
Author : Narinder Singh Claire
Release : 2000
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Spectral Theory and Heat Kernel Estimates for Higher Order Differential Operators by : Narinder Singh Claire
Download or read book Spectral Theory and Heat Kernel Estimates for Higher Order Differential Operators written by Narinder Singh Claire. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Grigoryan
Release : 2009
Genre : Education
Kind : eBook
Book Rating : 939/5 ( reviews)
Book Synopsis Heat Kernel and Analysis on Manifolds by : Alexander Grigoryan
Download or read book Heat Kernel and Analysis on Manifolds written by Alexander Grigoryan. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: 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 of major innovations beginning in the 1970s. The methods based on heat kernels have been used in areas as diverse as analysis, geometry, and probability, as well as in physics. This book is a comprehensive introduction to heat kernel techniques in the setting of Riemannian manifolds, which inevitably involves analysis of the Laplace-Beltrami operator and the associated heat equation. The first ten chapters cover the foundations of the subject, while later chapters deal with more advanced results involving the heat kernel in a variety of settings. The exposition starts with an elementary introduction to Riemannian geometry, proceeds with a thorough study of the spectral-theoretic, Markovian, and smoothness properties of the Laplace and heat equations on Riemannian manifolds, and concludes with Gaussian estimates of heat kernels. Grigor'yan has written this book with the student in mind, in particular by including over 400 exercises. The text will serve as a bridge between basic results and current research.Titles in this series are co-published with International Press, Cambridge, MA, USA.
Author : Nicole Berline
Release : 2003-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 628/5 ( reviews)
Book Synopsis Heat Kernels and Dirac Operators by : Nicole Berline
Download or read book Heat Kernels and Dirac Operators written by Nicole Berline. This book was released on 2003-12-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Fan R. K. Chung
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 158/5 ( reviews)
Book Synopsis Spectral Graph Theory by : Fan R. K. Chung
Download or read book Spectral Graph Theory written by Fan R. K. Chung. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This text discusses spectral graph theory.
