| Description |
1 online resource (viii, 379 pages) |
|
text txt rdacontent |
|
computer c rdamedia |
|
online resource cr rdacarrier |
| Series |
Dang dai jie chu qing nian ke xue wen ku |
|
Dang dai jie chu qing nian ke xue wen ku.
|
| Bibliography |
Includes bibliographical references (pages 366-375) and index. |
| Note |
Print version record. |
| Contents |
Chapter 0: Preliminaries -- Chapter 1 Poi`ncre 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. |
| Summary |
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. |
| Language |
English. |
| Subject |
Functional analysis.
|
|
Semigroups.
|
|
Spectral theory (Mathematics)
|
|
Analyse fonctionnelle.
|
|
Semi-groupes.
|
|
Spectre (Mathématiques)
|
|
MATHEMATICS -- Functional Analysis.
|
|
Functional analysis
|
|
Semigroups
|
|
Spectral theory (Mathematics)
|
| Other Form: |
Print version: Wang, Feng-Yu. Functional inequalities, Markov semigroups and spectral theory. Beijing ; New York : Science Press, ©2005 0080449425 9780080449425 (OCoLC)76910168 |
| ISBN |
9780080532073 (electronic bk.) |
|
0080532071 (electronic bk.) |
|
9780080449425 |
|
0080449425 |
|
9787030144157 |
|
7030144155 |
|
1281144681 |
|
9781281144683 |
|
9786611144685 |
|
6611144684 |
| Standard No. |
AU@ 000048130190 |
|
CHBIS 005686549 |
|
CHNEW 001007396 |
|
CHVBK 167586513 |
|
DEBBG BV036962288 |
|
DEBBG BV039830156 |
|
DEBBG BV042317300 |
|
DEBSZ 275182622 |
|
NZ1 12433192 |
|
NZ1 15192859 |
|
UKMGB 017584244 |
|
AU@ 000075307505 |
|
AU@ 000075197584 |
|
