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Functional inequalities, Markov semigroups and spectral theory

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Functional inequalities, Markov semigroups and spectral theory/
作者:	Wang, Feng-Yu.
出版者:	Beijing ;Science Press, : c2005,
面頁冊數:	p.cm.;
標題:	Inequalities (Mathematics) -
電子資源:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780080449425

Functional inequalities, Markov semigroups and spectral theory
Wang, Feng-Yu.

Functional inequalities, Markov semigroups and spectral theory[electronic resource]. - Beijing ;Science Press,c2005 - p.cm.

Chapter 0: Preliminaries -- -- Chapter 1 Poin�cre Inequality and Spectral Gap -- -- Chapter 2 Diffusion Processes on Manifolds and Applications -- -- Chapter 3 Functional Inequalities and Essential Spectrum -- -- Chapter 4: Weak Poincare Inequalities and Convergence of Semigroups -- Chapter 5 Log-Sobolev Inequalities and Semigroup Properties -- -- Chapter 6 Interpolations of Poincare and Log-Sobolev Inequalities -- -- Chapter 7 Some Infinite Dimensional Models -- -- Bibliography -- -- Index<P>.

In this book, the functional inequalities are introduced to describe: (i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap; (ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density; (iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780080449425

Source: 131894:132001Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

134665
Inequalities (Mathematics)
Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: QA295 / .W36 2005

Dewey Class. No.: 515/.26

Functional inequalities, Markov semigroups and spectral theory
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100 1 $a Wang, Feng-Yu. $3 291563
245 0 0 $a Functional inequalities, Markov semigroups and spectral theory $h [electronic resource].
260 $a Beijing ; $a New York : $c c2005 $b Science Press,
300 $a p. $c cm.
505 0 $a Chapter 0: Preliminaries -- -- Chapter 1 Poin�cre Inequality and Spectral Gap -- -- Chapter 2 Diffusion Processes on Manifolds and Applications -- -- Chapter 3 Functional Inequalities and Essential Spectrum -- -- Chapter 4: Weak Poincare Inequalities and Convergence of Semigroups -- Chapter 5 Log-Sobolev Inequalities and Semigroup Properties -- -- Chapter 6 Interpolations of Poincare and Log-Sobolev Inequalities -- -- Chapter 7 Some Infinite Dimensional Models -- -- Bibliography -- -- Index<P>.
520 $a In this book, the functional inequalities are introduced to describe: (i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap; (ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density; (iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.
533 $a Electronic reproduction. $b Amsterdam : $c Elsevier Science & Technology, $d 2007. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on July 25, 2007). $n Access may be restricted to users at subscribing institutions.
650 0 $a Inequalities (Mathematics) $3 134665
650 0 $a Semigroups. $3 196908
650 0 $a Markov processes. $3 120448
650 0 $a Spectral theory (Mathematics) $3 128806
655 7 $a Electronic books. $2 local. $3 96803
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856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/book/9780080449425 $z An electronic book accessible through the World Wide Web; click for information
994 $a C0 $b TEF