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The Bellman function technique in ha...
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Vasyunin, Vasily I., (1948-)
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The Bellman function technique in harmonic analysis
Record Type:
Electronic resources : Monograph/item
Title/Author:
The Bellman function technique in harmonic analysis/ Vasily Vasyunin, Alexander Volberg.
Author:
Vasyunin, Vasily I.,
other author:
Volberg, Alexander,
Published:
Cambridge :Cambridge University Press, : 2020.,
Description:
xvii, 445 p. :ill., digital ;24 cm.
Notes:
Title from publisher's bibliographic system (viewed on 17 Jul 2020).
[NT 15003449]:
Examples of exact Bellman functions -- What you always wanted to know about stochastic optimal control, but were afraid to ask -- Conformal martingales models : stochastic and classical Ahlfors-Beurling operators -- Dyadic models : application of Bellman technique to upper estimates of singular integrals -- Application of Bellman technique to the end-point estimates of singular integrals.
Subject:
Harmonic analysis. -
Online resource:
https://doi.org/10.1017/9781108764469
ISBN:
9781108764469
The Bellman function technique in harmonic analysis
Vasyunin, Vasily I.,1948-
The Bellman function technique in harmonic analysis
[electronic resource] /Vasily Vasyunin, Alexander Volberg. - Cambridge :Cambridge University Press,2020. - xvii, 445 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;186. - Cambridge studies in advanced mathematics ;186..
Title from publisher's bibliographic system (viewed on 17 Jul 2020).
Examples of exact Bellman functions -- What you always wanted to know about stochastic optimal control, but were afraid to ask -- Conformal martingales models : stochastic and classical Ahlfors-Beurling operators -- Dyadic models : application of Bellman technique to upper estimates of singular integrals -- Application of Bellman technique to the end-point estimates of singular integrals.
The Bellman function, a powerful tool originating in control theory, can be used successfully in a large class of difficult harmonic analysis problems and has produced some notable results over the last thirty years. This book by two leading experts is the first devoted to the Bellman function method and its applications to various topics in probability and harmonic analysis. Beginning with basic concepts, the theory is introduced step-by-step starting with many examples of gradually increasing sophistication, culminating with Calderon-Zygmund operators and end-point estimates. All necessary techniques are explained in generality, making this book accessible to readers without specialized training in non-linear PDEs or stochastic optimal control. Graduate students and researchers in harmonic analysis, PDEs, functional analysis, and probability will find this to be an incisive reference, and can use it as the basis of a graduate course.
ISBN: 9781108764469Subjects--Topical Terms:
555704
Harmonic analysis.
LC Class. No.: QA403 / .V37 2020
Dewey Class. No.: 515.2433
The Bellman function technique in harmonic analysis
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Examples of exact Bellman functions -- What you always wanted to know about stochastic optimal control, but were afraid to ask -- Conformal martingales models : stochastic and classical Ahlfors-Beurling operators -- Dyadic models : application of Bellman technique to upper estimates of singular integrals -- Application of Bellman technique to the end-point estimates of singular integrals.
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The Bellman function, a powerful tool originating in control theory, can be used successfully in a large class of difficult harmonic analysis problems and has produced some notable results over the last thirty years. This book by two leading experts is the first devoted to the Bellman function method and its applications to various topics in probability and harmonic analysis. Beginning with basic concepts, the theory is introduced step-by-step starting with many examples of gradually increasing sophistication, culminating with Calderon-Zygmund operators and end-point estimates. All necessary techniques are explained in generality, making this book accessible to readers without specialized training in non-linear PDEs or stochastic optimal control. Graduate students and researchers in harmonic analysis, PDEs, functional analysis, and probability will find this to be an incisive reference, and can use it as the basis of a graduate course.
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https://doi.org/10.1017/9781108764469
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EB QA403 .V37 2020
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