Format:
Online Ressource
Edition:
Online-Ausg. Amsterdam Elsevier Science & Technology Online-Ressource ScienceDirect
ISBN:
9780080449425
,
0080449425
Series Statement:
Dang dai jie chu qing nian ke xue wen ku
Content:
Chapter 0: Preliminaries -- Chapter 1 Poinc̀re 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
Content:
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
Note:
Includes bibliographical references and index. - Description based on print version record
,
Chapter 0: PreliminariesChapter 1 Poinc̀re 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 .
,
English
Additional Edition:
ISBN 0080449425
Additional Edition:
ISBN 7030144155
Additional Edition:
Erscheint auch als Druck-Ausgabe Functional inequalities, Markov semigroups and spectral theory Beijing [u.a.] : Science Press, 2005 ISBN 7030144155
Additional Edition:
ISBN 9780080449425
Language:
English
Subjects:
Mathematics
Keywords:
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Electronic books
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