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Functional Inequalities Markov Semigroups and Spectral Theory
1st Edition - February 24, 2006
Author: Fengyu Wang
9 7 8 - 0 - 0 8 - 0 5 3 2 0 7 - 3
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… Read more
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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.
mathematicians, libraries, departments of mathematics
Chapter 0: Preliminaries
Chapter 1 Poincáre 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
No. of pages: 379
Published: February 24, 2006
Imprint: Elsevier Science
eBook ISBN: 9780080532073
Affiliations and expertise
School of Mathematical Sciences, Beijing Normal University