Functional inequalities, Markov semigroups and spectral theory [E-Book].
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 conve...
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Personal Name(s): | Wang, Feng-Yu. |
Imprint: |
Beijing ; New York :
Science Press,
c2005
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Physical Description: |
1 online resource. |
Note: |
englisch |
ISBN: |
9780080449425 0080449425 |
Series Title: |
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Dang dai jie chu qing nian ke xue wen ku
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Subject (LOC): |
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. |