Functional Inequalities Markov Semigroups and Spectral Theory
( The Science Series of the Contemporary Elite Youth )
Publication series ：The Science Series of the Contemporary Elite Youth
Publisher： Elsevier Science
Publication year： 2006
E-ISBN: 9780080532073
P-ISBN(Paperback): 9780080449425
P-ISBN(Hardback): 9780080449425
Subject： O178 Inequality and Its him.
Language： ENG
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Description
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.