Stopping Time Techniques For Analysts And Probabilists
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Stopping Time Techniques For Analysts And Probabilists
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Author : L. Egghe
language : en
Publisher: Cambridge University Press
Release Date : 1984-09-27
Stopping Time Techniques For Analysts And Probabilists written by L. Egghe and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-09-27 with Mathematics categories.
This book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. Not only are highly specialized results given, but also elementary applications of these results. The book starts by discussing the convergence theory of martingales and sub-( or super-) martingales with values in a Banach space with or without the Radon-Nikodym property. Several inequalities which are of use in the study of the convergence of more general adapted sequence such as (uniform) amarts, mils and pramarts are proved and sub- and superpramarts are discussed and applied to the convergence of pramarts. Most of the results have a strong relationship with (or in fact are characterizations of) topological or geometrical properties of Banach spaces. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory.
Stopping Time Techniques For Analysts And Probabilists
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Author : Leo Egghe
language : en
Publisher:
Release Date : 2014-05-14
Stopping Time Techniques For Analysts And Probabilists written by Leo Egghe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
This book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. Not only are highly specialized results given, but also elementary applications of these results. The book starts by discussing the convergence theory of martingales and sub-( or super-) martingales with values in a Banach space with or without the Radon-Nikodym property. Several inequalities which are of use in the study of the convergence of more general adapted sequence such as (uniform) amarts, mils and pramarts are proved and sub- and superpramarts are discussed and applied to the convergence of pramarts. Most of the results have a strong relationship with (or in fact are characterizations of) topological or geometrical properties of Banach spaces. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory.
Probability For Analysts
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Author : Karl Stromberg
language : en
Publisher: Routledge
Release Date : 2022-02-27
Probability For Analysts written by Karl Stromberg and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-27 with Mathematics categories.
This book will enable researchers and students of analysis to more easily understand research papers in which probabilistic methods are used to prove theorems of analysis, many of which have no other known proofs. The book assumes a course in measure and integration theory but requires little or no background in probability theory. It emplhasizes topics of interest to analysts, including random series, martingales and Brownian motion.
The Technique Of Pseudodifferential Operators
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Author : Heinz Otto Cordes
language : en
Publisher: Cambridge University Press
Release Date : 1995-02-23
The Technique Of Pseudodifferential Operators written by Heinz Otto Cordes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-23 with Mathematics categories.
Pseudodifferential operators arise naturally in a solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral remainders or as asymptotic series. While a pseudodifferential operator is commonly defined by an integral formula, it also may be described by invariance under action of a Lie group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution, and the relation of the hyperbolic theory to the propagation of maximal ideals. The Technique of Pseudodifferential Operators will be of particular interest to researchers in partial differential equations and mathematical physics.
An Introduction To Independence For Analysts
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Author : H. G. Dales
language : en
Publisher: Cambridge University Press
Release Date : 1987-12-10
An Introduction To Independence For Analysts written by H. G. Dales and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-12-10 with Mathematics categories.
Forcing is a powerful tool from logic which is used to prove that certain propositions of mathematics are independent of the basic axioms of set theory, ZFC. This book explains clearly, to non-logicians, the technique of forcing and its connection with independence, and gives a full proof that a naturally arising and deep question of analysis is independent of ZFC. It provides an accessible account of this result, and it includes a discussion, of Martin's Axiom and of the independence of CH.
Microlocal Analysis For Differential Operators
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Author : Alain Grigis
language : en
Publisher: Cambridge University Press
Release Date : 1994-03-03
Microlocal Analysis For Differential Operators written by Alain Grigis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-03 with Mathematics categories.
This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.
Sieve Methods Exponential Sums And Their Applications In Number Theory
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Author : G. R. H. Greaves
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-30
Sieve Methods Exponential Sums And Their Applications In Number Theory written by G. R. H. Greaves and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-30 with Mathematics categories.
State-of-the-art analytic number theory proceedings.
Stochastic Analysis
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Author : M. T. Barlow
language : en
Publisher: Cambridge University Press
Release Date : 1991-10-25
Stochastic Analysis written by M. T. Barlow and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-25 with Mathematics categories.
Papers from the Symposium on stochastic analysis, which took place at the University of Durham in July 1990.
Analysis At Urbana Volume 1 Analysis In Function Spaces
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Author : E. Berkson
language : en
Publisher: CUP Archive
Release Date : 1989-03-30
Analysis At Urbana Volume 1 Analysis In Function Spaces written by E. Berkson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-30 with Mathematics categories.
Throughout the academic year 1986-7, the University of Illinois hosted a symposium on mathematical analysis attended by some of the leading figures in the field. This resulting book lays emphasis on the synthesis of modern and classical analysis.
Analysis At Urbana Volume 2 Analysis In Abstract Spaces
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Author : Earl R. Berkson
language : en
Publisher: Cambridge University Press
Release Date : 1989-03-30
Analysis At Urbana Volume 2 Analysis In Abstract Spaces written by Earl R. Berkson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-30 with Mathematics categories.
Throughout the acedemic year 1986-7, the University of Illinois hosted a symposium on mathematical analysis attended by some of the leading figures in the field. This resulting book lays emphasis on the synthesis of modern and classical analysis. The contributed articles cover the mainstream topics and will be essential to researchers in mathematical analysis.