Heat Kernels and Spectral Theory PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Heat Kernels and Spectral Theory PDF full book. Access full book title Heat Kernels and Spectral Theory by E. B. Davies. Download full books in PDF and EPUB format.

Heat Kernels and Spectral Theory

Heat Kernels and Spectral Theory PDF Author: E. B. Davies
Publisher: Cambridge University Press
ISBN: 9780521409971
Category : Mathematics
Languages : en
Pages : 212

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

Heat Kernels and Spectral Theory

Heat Kernels and Spectral Theory PDF Author: E. B. Davies
Publisher: Cambridge University Press
ISBN: 9780521409971
Category : Mathematics
Languages : en
Pages : 212

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

Heat Kernel and Analysis on Manifolds

Heat Kernel and Analysis on Manifolds PDF Author: Alexander Grigor'yan
Publisher: American Mathematical Soc.
ISBN: 0821893939
Category : Gaussian processes
Languages : en
Pages : 504

Book Description
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.

Spectral Graph Theory

Spectral Graph Theory PDF Author: Fan R. K. Chung
Publisher: American Mathematical Soc.
ISBN: 0821803158
Category : Eigenvalues
Languages : en
Pages : 228

Book Description
This text discusses spectral graph theory.

Heat Kernels and Dirac Operators

Heat Kernels and Dirac Operators PDF Author: Nicole Berline
Publisher: Springer Science & Business Media
ISBN: 9783540200628
Category : Mathematics
Languages : en
Pages : 384

Book Description
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.

Spectral Theory and Differential Operators

Spectral Theory and Differential Operators PDF Author: Edward Brian Davies
Publisher: Cambridge University Press
ISBN: 9780521587105
Category : Mathematics
Languages : en
Pages : 198

Book Description
This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on partial differential operators.

Mathematical Physics, Spectral Theory and Stochastic Analysis

Mathematical Physics, Spectral Theory and Stochastic Analysis PDF Author: Michael Demuth
Publisher: Springer Science & Business Media
ISBN: 3034805918
Category : Mathematics
Languages : en
Pages : 339

Book Description
This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.

Random Walks and Heat Kernels on Graphs

Random Walks and Heat Kernels on Graphs PDF Author: M. T. Barlow
Publisher: Cambridge University Press
ISBN: 1107674425
Category : Mathematics
Languages : en
Pages : 239

Book Description
Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

Analysis of Heat Equations on Domains. (LMS-31)

Analysis of Heat Equations on Domains. (LMS-31) PDF Author: El-Maati Ouhabaz
Publisher: Princeton University Press
ISBN: 1400826489
Category : Mathematics
Languages : en
Pages : 296

Book Description
This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. He then treats Lp properties of solutions to a wide class of heat equations that have been developed over the last fifteen years. These primarily concern the interplay of heat equations in functional analysis, spectral theory and mathematical physics. This book addresses new developments and applications of Gaussian upper bounds to spectral theory. In particular, it shows how such bounds can be used in order to prove Lp estimates for heat, Schrödinger, and wave type equations. A significant part of the results have been proved during the last decade. The book will appeal to researchers in applied mathematics and functional analysis, and to graduate students who require an introductory text to sesquilinear form techniques, semigroups generated by second order elliptic operators in divergence form, heat kernel bounds, and their applications. It will also be of value to mathematical physicists. The author supplies readers with several references for the few standard results that are stated without proofs.

The Heat Kernel and Theta Inversion on SL2(C)

The Heat Kernel and Theta Inversion on SL2(C) PDF Author: Jay Jorgenson
Publisher: Springer Science & Business Media
ISBN: 0387380329
Category : Mathematics
Languages : en
Pages : 314

Book Description
The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion. The heat kernel on the quotient space SL(2,Z[i])\SL(2,C) is arrived at through periodization, and further expanded in an eigenfunction expansion. A theta inversion formula is obtained by studying the trace of the heat kernel. Following the author's previous work, the inversion formula then leads to zeta functions through the Gauss transform./

The Ubiquitous Heat Kernel

The Ubiquitous Heat Kernel PDF Author: Jay Jorgenson
Publisher: American Mathematical Soc.
ISBN: 0821836986
Category : Geometry, Algebraic
Languages : en
Pages : 410

Book Description
The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding theirresearch and connecting with others.