Probability in Banach Spaces IV
Author: A. Beck
Publisher: Springer
Published: 2006-11-15
Total Pages: 243
ISBN-13: 3540398708
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Probability in Banach Spaces
Author: Michel Ledoux
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 493
ISBN-13: 3642202128
DOWNLOAD EBOOKIsoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
Probability Theory on Vector Spaces IV
Author: Stamatis Cambanis
Publisher: Springer
Published: 2006-11-14
Total Pages: 435
ISBN-13: 354048244X
DOWNLOAD EBOOKIntroduction to Banach Spaces: Analysis and Probability:
Author: Daniel Li
Publisher: Cambridge University Press
Published: 2017-11-02
Total Pages: 464
ISBN-13: 1108300073
DOWNLOAD EBOOKThis two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Analysis in Banach Spaces
Author: Tuomas Hytönen
Publisher: Springer
Published: 2018-02-14
Total Pages: 630
ISBN-13: 3319698087
DOWNLOAD EBOOKThis second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
Introduction to Banach Spaces: Analysis and Probability: Volume 2
Author: Daniel Li
Publisher: Cambridge University Press
Published: 2017-11-02
Total Pages: 405
ISBN-13: 1108298168
DOWNLOAD EBOOKThis two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Introduction to Banach Spaces: Analysis and Probability: Volume 1
Author: Daniel Li
Publisher: Cambridge University Press
Published: 2017-11-02
Total Pages: 463
ISBN-13: 110829815X
DOWNLOAD EBOOKThis two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Statistical Modeling, Analysis and Management of Fuzzy Data
Author: Carlo Bertoluzza
Publisher: Physica
Published: 2012-11-02
Total Pages: 315
ISBN-13: 3790818003
DOWNLOAD EBOOKThe contributions in this book state the complementary rather than competitive relationship between Probability and Fuzzy Set Theory and allow solutions to real life problems with suitable combinations of both theories.
Martingales in Banach Spaces
Author: Gilles Pisier
Publisher: Cambridge University Press
Published: 2016-06-06
Total Pages: 591
ISBN-13: 1107137241
DOWNLOAD EBOOKThis book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Convex Bodies
Author: Rolf Schneider
Publisher: Cambridge University Press
Published: 1993-02-25
Total Pages: 506
ISBN-13: 0521352207
DOWNLOAD EBOOKA comprehensive introduction to convex bodies giving full proofs for some deeper theorems which have never previously been brought together.
