Inversion Formulae for the Probability Measures on Banach Spaces

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ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Inversion Formulae for the Probability Measures on Banach Spaces by : Gholamhossein Gharagoz Hamedani

Download or read book Inversion Formulae for the Probability Measures on Banach Spaces written by Gholamhossein Gharagoz Hamedani and published by . This book was released on 1971 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bayesian Approach to Inverse Problems

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Publisher : John Wiley & Sons
ISBN 13 : 111862369X
Total Pages : 322 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Bayesian Approach to Inverse Problems by : Jérôme Idier

Download or read book Bayesian Approach to Inverse Problems written by Jérôme Idier and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or quantifying flaws or cracks within a material from acoustic or electromagnetic measurements at its surface is an essential problem of non-destructive evaluation. The concept of inverse problems precisely originates from the idea of inverting the laws of physics to recover a quantity of interest from measurable data. Unfortunately, most inverse problems are ill-posed, which means that precise and stable solutions are not easy to devise. Regularization is the key concept to solve inverse problems. The goal of this book is to deal with inverse problems and regularized solutions using the Bayesian statistical tools, with a particular view to signal and image estimation. The first three chapters bring the theoretical notions that make it possible to cast inverse problems within a mathematical framework. The next three chapters address the fundamental inverse problem of deconvolution in a comprehensive manner. Chapters 7 and 8 deal with advanced statistical questions linked to image estimation. In the last five chapters, the main tools introduced in the previous chapters are put into a practical context in important applicative areas, such as astronomy or medical imaging.

Transactions of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 1086 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Transactions of the American Mathematical Society by :

Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1973 with total page 1086 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Theory

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Publisher : Cambridge University Press
ISBN 13 : 1139494619
Total Pages : 550 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Probability Theory by : Daniel W. Stroock

Download or read book Probability Theory written by Daniel W. Stroock and published by Cambridge University Press. This book was released on 2010-12-31 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Daniel W. Stroock's text is suitable for first-year graduate students with a good grasp of introductory, undergraduate probability theory and a sound grounding in analysis. It is intended to provide readers with an introduction to probability theory and the analytic ideas and tools on which the modern theory relies. It includes more than 750 exercises. Much of the content has undergone significant revision. In particular, the treatment of Levy processes has been rewritten, and a detailed account of Gaussian measures on a Banach space is given.

Certain Subclass of Infinitely Divisible Probability Measures on Banach Spaces

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ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Certain Subclass of Infinitely Divisible Probability Measures on Banach Spaces by : Arunod Kumar

Download or read book Certain Subclass of Infinitely Divisible Probability Measures on Banach Spaces written by Arunod Kumar and published by . This book was released on 1971 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of the Geometry of Banach Spaces

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Publisher : Elsevier
ISBN 13 : 0080532802
Total Pages : 1017 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of the Geometry of Banach Spaces by :

Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2001-08-15 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

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Publisher : Springer
ISBN 13 : 3319515934
Total Pages : 469 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) by : María Cristina Pereyra

Download or read book Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) written by María Cristina Pereyra and published by Springer. This book was released on 2017-07-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

Handbook of Uncertainty Quantification

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Publisher : Springer
ISBN 13 : 9783319123844
Total Pages : 0 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Handbook of Uncertainty Quantification by : Roger Ghanem

Download or read book Handbook of Uncertainty Quantification written by Roger Ghanem and published by Springer. This book was released on 2016-05-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of Uncertainty Quantification (UQ) has witnessed massive developments in response to the promise of achieving risk mitigation through scientific prediction. It has led to the integration of ideas from mathematics, statistics and engineering being used to lend credence to predictive assessments of risk but also to design actions (by engineers, scientists and investors) that are consistent with risk aversion. The objective of this Handbook is to facilitate the dissemination of the forefront of UQ ideas to their audiences. We recognize that these audiences are varied, with interests ranging from theory to application, and from research to development and even execution.

Probability Measures on Groups IX

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Publisher : Springer
ISBN 13 : 3540462066
Total Pages : 446 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Probability Measures on Groups IX by : Herbert Heyer

Download or read book Probability Measures on Groups IX written by Herbert Heyer and published by Springer. This book was released on 2006-11-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data. Thus it was attended by mathematicians whose research interests range from number theory to quantum physics in conjunction with structural properties of probabilistic phenomena. This volume contains 5 survey articles submitted on special invitation and 25 original research papers.

Measure Theory and Probability Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387354344
Total Pages : 625 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Measure Theory and Probability Theory by : Krishna B. Athreya

Download or read book Measure Theory and Probability Theory written by Krishna B. Athreya and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate level textbook on measure theory and probability theory. It presents the main concepts and results in measure theory and probability theory in a simple and easy-to-understand way. It further provides heuristic explanations behind the theory to help students see the big picture. The book can be used as a text for a two semester sequence of courses in measure theory and probability theory, with an option to include supplemental material on stochastic processes and special topics. Prerequisites are kept to the minimal level and the book is intended primarily for first year Ph.D. students in mathematics and statistics.

Commentationes Mathematicae

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ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Commentationes Mathematicae by : Polskie Towarzystwo Matematyczne

Download or read book Commentationes Mathematicae written by Polskie Towarzystwo Matematyczne and published by . This book was released on 1978 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability in Banach Spaces V

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Publisher : Springer
ISBN 13 : 3540396454
Total Pages : 463 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Probability in Banach Spaces V by : Anatole Beck

Download or read book Probability in Banach Spaces V written by Anatole Beck and published by Springer. This book was released on 2006-11-14 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization and Control for Partial Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110696002
Total Pages : 386 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Optimization and Control for Partial Differential Equations by : Roland Herzog

Download or read book Optimization and Control for Partial Differential Equations written by Roland Herzog and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-07 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Hilbert And Banach Space-valued Stochastic Processes

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Publisher : World Scientific
ISBN 13 : 9811211760
Total Pages : 539 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Hilbert And Banach Space-valued Stochastic Processes by : Yuichiro Kakihara

Download or read book Hilbert And Banach Space-valued Stochastic Processes written by Yuichiro Kakihara and published by World Scientific. This book was released on 2021-07-29 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a development of the book entitled Multidimensional Second Order Stochastic Processes. It provides a research expository treatment of infinite-dimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral representations of various classes of nonstationary processes such as harmonizable, V-bounded, Cramér and Karhunen classes as well as the stationary class. A new type of the Radon-Nikodým derivative of a Banach space-valued measure is introduced, together with Schauder basic measures, to study uniformly bounded linearly stationary processes.Emphasis is on the use of functional analysis and harmonic analysis as well as probability theory. Applications are made from the probabilistic and statistical points of view to prediction problems, Kalman filter, sampling theorems and strong laws of large numbers. Generalizations are made to consider Banach space-valued stochastic processes to include processes of pth order for p ≥ 1. Readers may find that the covariance kernel is always emphasized and reveals another aspect of stochastic processes.This book is intended not only for probabilists and statisticians, but also for functional analysts and communication engineers.

An Introduction to Probabilistic Number Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108840965
Total Pages : 271 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis An Introduction to Probabilistic Number Theory by : Emmanuel Kowalski

Download or read book An Introduction to Probabilistic Number Theory written by Emmanuel Kowalski and published by Cambridge University Press. This book was released on 2021-05-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook for graduate students presents modern developments in probabilistic number theory, many for the first time.

Introduction to Banach Spaces: Analysis and Probability: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 110829815X
Total Pages : 463 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Banach Spaces: Analysis and Probability: Volume 1 by : Daniel Li

Download or read book Introduction to Banach Spaces: Analysis and Probability: Volume 1 written by Daniel Li and published by Cambridge University Press. This book was released on 2017-11-02 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.