The Classical Moment Problem And Some Related Questions In Analysis
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The Classical Moment Problem And Some Related Questions In Analysis
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Author : N.I. Akhiezer
language : en
Publisher: SIAM
Release Date : 2020-12-01
The Classical Moment Problem And Some Related Questions In Analysis written by N.I. Akhiezer and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-01 with Mathematics categories.
The mathematical theory for many application areas depends on a deep understanding of the theory of moments. These areas include medical imaging, signal processing, computer visualization, and data science. The problem of moments has also found novel applications to areas such as control theory, image analysis, signal processing, polynomial optimization, and statistical big data. The Classical Moment Problem and Some Related Questions in Analysis presents a unified treatment of the development of the classical moment problem from the late 19th century to the middle of the 20th century. Important connections between the moment problem and many branches of analysis are presented. In this self-contained text, readers will find a unified exposition of important classical results, which are difficult to read in the original journals, as well as a strong foundation for many areas in modern applied mathematics. Researchers in areas that use techniques developed for the classical moment problem will find the book of interest.
The Classical Moment Problem And Some Related Questions In Analysis
DOWNLOAD
Author : N.I. Akhiezer
language : en
Publisher: SIAM
Release Date : 2020-12-01
The Classical Moment Problem And Some Related Questions In Analysis written by N.I. Akhiezer and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-01 with Mathematics categories.
The mathematical theory for many application areas depends on a deep understanding of the theory of moments. These areas include medical imaging, signal processing, computer visualization, and data science. The problem of moments has also found novel applications to areas such as control theory, image analysis, signal processing, polynomial optimization, and statistical big data. The Classical Moment Problem and Some Related Questions in Analysis presents a unified treatment of the development of the classical moment problem from the late 19th century to the middle of the 20th century. Important connections between the moment problem and many branches of analysis are presented. In this self-contained text, readers will find a unified exposition of important classical results, which are difficult to read in the original journals, as well as a strong foundation for many areas in modern applied mathematics. Researchers in areas that use techniques developed for the classical moment problem will find the book of interest.
The Classical Moment Problem
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Author : Naum Ilʹich Akhiezer
language : en
Publisher:
Release Date : 1965
The Classical Moment Problem written by Naum Ilʹich Akhiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
The Classical Moment Problem And Some Related Questions In Analysis
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Author : Naum Ilʹich Akhiezer
language : en
Publisher:
Release Date : 1977
The Classical Moment Problem And Some Related Questions In Analysis written by Naum Ilʹich Akhiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
The Classical Moment Problem And Some Related Questions In Analysis Tr
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Author : Naum Ilʹich Akhiezer
language : en
Publisher:
Release Date :
The Classical Moment Problem And Some Related Questions In Analysis Tr written by Naum Ilʹich Akhiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Moment spaces categories.
Problems And Recent Methods In Operator Theory
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Author : Fernanda Botelho
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-18
Problems And Recent Methods In Operator Theory written by Fernanda Botelho and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-18 with Mathematics categories.
This volume contains the proceedings of the Workshop on Problems and Recent Methods in Operator Theory, held at the University of Memphis, Memphis, TN, from October 15–16, 2015 and the AMS Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, held at the University of Memphis, Memphis, TN, from October 17–18, 2015. Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. It also provides powerful tools for the development of other areas of science including quantum theory, physics and mechanics. Isometries have applications in solid-state physics. Hermitian operators play an integral role in quantum mechanics very much due to their “nice” spectral properties. These powerful connections demonstrate the impact of operator theory in various branches of science. The articles in this volume address recent problems and research advances in operator theory. Highlighted topics include spectral, structural and geometric properties of special types of operators on Banach spaces, with emphasis on isometries, weighted composition operators, multi-circular projections on function spaces, as well as vector valued function spaces and spaces of analytic functions. This volume gives a succinct overview of state-of-the-art techniques from operator theory as well as applications to classical problems and long-standing open questions.
Interpolation Schur Functions And Moment Problems Ii
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Author : Daniel Alpay
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-25
Interpolation Schur Functions And Moment Problems Ii written by Daniel Alpay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Mathematics categories.
The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.
Functional Analysis And Related Topics Proceedings Of The International Symposium
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Author : Shozo Koshi
language : en
Publisher: World Scientific
Release Date : 1991-10-31
Functional Analysis And Related Topics Proceedings Of The International Symposium written by Shozo Koshi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with categories.
The objective of this symposium is to discuss the recent developments in the various areas of functional analysis. This volume consists mainly of articles in the fields of topological algebra, Banach spaces, function spaces, harmonic analysis, operator theory and application of functional analysis.
The Classical Moment Problem And Some Related Questions In Analysis By N I Akhiezer
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Author : Naum Ilʹich Akhiezer
language : en
Publisher:
Release Date : 1965
The Classical Moment Problem And Some Related Questions In Analysis By N I Akhiezer written by Naum Ilʹich Akhiezer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Spectral theory (Mathematics) categories.
Thinking In Problems
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Author : Alexander A. Roytvarf
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-04
Thinking In Problems written by Alexander A. Roytvarf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-04 with Mathematics categories.
This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.