ANALYSIS ON GAUSSIAN SPACES
Autor Yaozhong Huen Limba Engleză Hardback – 31 aug 2016
Out of the large amount of work on this topic, this book presents some fundamental results plus recent progress. We shall present some results on the Gaussian space itself such as the Brunn-Minkowski inequality, Small ball estimates, large tail estimates. The majority part of this book is devoted to the analysis of nonlinear functions on the Gaussian space. Derivative, Sobolev spaces are introduced, while the famous Poincar inequality, logarithmic inequality, hypercontractive inequality, Meyer's inequality, Littlewood-Paley-Stein-Meyer theory are given in details.
This book includes some basic material that cannot be found elsewhere that the author believes should be an integral part of the subject. For example, the book includes some interesting and important inequalities, the Littlewood-Paley-Stein-Meyer theory, and the Hrmander theorem. The book also includes some recent progress achieved by the author and collaborators on density convergence, numerical solutions, local times.
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Specificații
ISBN-13: 9789813142176
ISBN-10: 9813142170
Pagini: 484
Dimensiuni: 157 x 235 x 30 mm
Greutate: 0.77 kg
Editura: World Scientific
ISBN-10: 9813142170
Pagini: 484
Dimensiuni: 157 x 235 x 30 mm
Greutate: 0.77 kg
Editura: World Scientific