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Generalized Harmonic Analysis And Tauberian Theory Classical Harmonic And Complex Analysis
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Book Synopsis Tauberian Theory by : Jacob Korevaar
Download or read book Tauberian Theory written by Jacob Korevaar and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation", which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and "circle" methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book.
Book Synopsis Norbert Wiener 1894–1964 by : Pesi R. Masani
Download or read book Norbert Wiener 1894–1964 written by Pesi R. Masani and published by Birkhäuser. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Norbert Wiener was an American mathematician and philosopher. He was a professor of mathematics at the Massachusetts Institute of Technology (MIT). A child prodigy, Wiener later became an early researcher in stochastic and mathematical noise processes, contributing work relevant to electronic engineering, electronic communication, and control systems. Wiener is considered the originator of cybernetics, a formalization of the notion of feedback, with implications for engineering, systems control, computer science, biology, neuroscience, philosophy, and the organization of society. Wiener thought on a grand scale and stressed the adaptation of technical concepts from pure mathematics and electrical engineering outside their technical contexts. Masani's interesting and thoughtful book analyses both Wiener's mathematical and his nonmathematical ideas in sympathetic and sensitive detail. Readers will find much to appreciate in this book, in addition to the discussion of Wiener's technical research.
Book Synopsis Risk And Stochastics: Ragnar Norberg by : Pauline Barrieu
Download or read book Risk And Stochastics: Ragnar Norberg written by Pauline Barrieu and published by World Scientific. This book was released on 2019-04-18 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: with an autobiography from Ragnar NorbergThe Risk and Stochastics Conference, held at the Royal Statistical Society in April 2015, brought together academics from the worlds of actuarial science, stochastic calculus, finance and statistics to celebrate the achievements of Professor Ragnar Norberg as he turned 70. After the conference, Ragnar Norberg suddenly fell very ill and passed away; this book honours his life and work.This collection of articles is written by speakers of the conference, themselves respected academics who have influenced and been influenced by the life and work of Professor Norberg. His professional and academic achievements are celebrated here, most significantly the instrumental work he put into setting up the world-renowned Risk and Stochastics Enterprise at the London School of Economics (LSE). Subjects covered include discussion of risk measurements, ruin constraint, supporting stable pensions, filtration in discrete time, Riesz means and Beurling moving averages and orthonormal polynomial expansions. Also featured are notes from contributors giving account of their personal relations with Professor Norberg, as well as an autobiographical chapter from the man himself.Aimed at graduate level students and researchers interested in the life and work of Ragnar Norberg, this book provides a unique opportunity to reflect on and understand key findings and ground-breaking research in modern actuarial and financial mathematics and their interface, while giving intimate insights into the life of a leading academic mind.
Book Synopsis Linear Operators and Linear Systems by : Jonathan R. Partington
Download or read book Linear Operators and Linear Systems written by Jonathan R. Partington and published by Cambridge University Press. This book was released on 2004-03-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Dark Hero of the Information Age by : Flo Conway
Download or read book Dark Hero of the Information Age written by Flo Conway and published by Basic Books. This book was released on 2009-04-27 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Child prodigy and brilliant MIT mathematician, Norbert Wiener founded the revolutionary science of cybernetics and ignited the information-age explosion of computers, automation, and global telecommunications. His best-selling book, Cybernetics, catapulted him into the public spotlight, as did his chilling visions of the future and his ardent social activism. Based on a wealth of primary sources and exclusive access to Wiener's closest family members, friends, and colleagues, Dark Hero of the Information Age reveals this eccentric genius as an extraordinarily complex figure. No one interested in the intersection of technology and culture will want to miss this epic story of one of the twentieth century's most brilliant and colorful figures.
Book Synopsis Pure and Applied Science Books, 1876-1982 by :
Download or read book Pure and Applied Science Books, 1876-1982 written by and published by . This book was released on 1982 with total page 1374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 220,000 entries representing some 56,000 Library of Congress subject headings. Covers all disciplines of science and technology, e.g., engineering, agriculture, and domestic arts. Also contains at least 5000 titles published before 1876. Has many applications in libraries, information centers, and other organizations concerned with scientific and technological literature. Subject index contains main listing of entries. Each entry gives cataloging as prepared by the Library of Congress. Author/title indexes.
Book Synopsis Collected Papers: Finite groups by : Richard Brauer
Download or read book Collected Papers: Finite groups written by Richard Brauer and published by . This book was released on 1980 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Books in Series written by and published by . This book was released on 1980 with total page 2410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collected Papers: Theory of algebras, and finite groups by : Richard Brauer
Download or read book Collected Papers: Theory of algebras, and finite groups written by Richard Brauer and published by . This book was released on 1980 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Percy Alexander MacMahon: Number theory, invariants, and applications by : Percy Alexander MacMahon
Download or read book Percy Alexander MacMahon: Number theory, invariants, and applications written by Percy Alexander MacMahon and published by . This book was released on 1978 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Number Theory, Invariants, and Applications by : Percy Alexander MacMahon
Download or read book Number Theory, Invariants, and Applications written by Percy Alexander MacMahon and published by MIT Press (MA). This book was released on 1986 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the fifty-six papers in Volume II relate to combinatorics, but most of them investigate quite distinct areas and reveal a different side of MacMahons mind and mathematical originality.
Book Synopsis The Hopf-Wiener integral equation; prediction and filtering; quantum mechanics and relativity; miscellaneous papers by : Norbert Wiener
Download or read book The Hopf-Wiener integral equation; prediction and filtering; quantum mechanics and relativity; miscellaneous papers written by Norbert Wiener and published by . This book was released on 1976 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commutative Harmonic Analysis I by : V.P. Khavin
Download or read book Commutative Harmonic Analysis I written by V.P. Khavin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics. The fundamental nature of this subject, however, has been determined so long ago, that unlike in other volumes of this publication, we have to start with simple notions which have been in constant use in mathematics and physics. Planning the series as a whole, we have assumed that harmonic analysis is based on a small number of axioms, simply and clearly formulated in terms of group theory which illustrate its sources of ideas. However, our subject cannot be completely reduced to those axioms. This part of mathematics is so well developed and has so many different sides to it that no abstract scheme is able to cover its immense concreteness completely. In particular, it relates to an enormous stock of facts accumulated by the classical "trigonometric" harmonic analysis. Moreover, subjected to a general mathematical tendency of integration and diffusion of conventional intersubject borders, harmonic analysis, in its modem form, more and more rests on non-translation invariant constructions. For example, one ofthe most signifi cant achievements of latter decades, which has substantially changed the whole shape of harmonic analysis, is the penetration in this subject of subtle techniques of singular integral operators.
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.
Download or read book American Scientist written by and published by . This book was released on 1942 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course in Abstract Harmonic Analysis by : Gerald B. Folland
Download or read book A Course in Abstract Harmonic Analysis written by Gerald B. Folland and published by CRC Press. This book was released on 2016-02-03 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul
Book Synopsis God & Golem, Inc. by : Norbert Wiener
Download or read book God & Golem, Inc. written by Norbert Wiener and published by MIT Press. This book was released on 1966-03-15 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new and rapidly growing field of communication sciences owes as much to Norbert Wiener as to any one man. He coined the word for it—cybernetics. In God & Golem, Inc., the author concerned himself with major points in cybernetics which are relevant to religious issues.The first point he considers is that of the machine which learns. While learning is a property almost exclusively ascribed to the self-conscious living system, a computer now exists which not only can be programmed to play a game of checkers, but one which can "learn" from its past experience and improve on its own game. For a time, the machine was able to beat its inventor at checkers. "It did win," writes the author, "and it did learn to win; and the method of its learning was no different in principle from that of the human being who learns to play checkers. A second point concerns machines which have the capacity to reproduce themselves. It is our commonly held belief that God made man in his own image. The propagation of the race may also be interpreted as a function in which one living being makes another in its own image. But the author demonstrates that man has made machines which are "very well able to make other machines in their own image," and these machine images are not merely pictorial representations but operative images. Can we then say: God is to Golem as man is to Machines? in Jewish legend, golem is an embryo Adam, shapeless and not fully created, hence a monster, an automation.The third point considered is that of the relation between man and machine. The concern here is ethical. "render unto man the things which are man's and unto the computer the things which are the computer's," warns the author. In this section of the book, Dr. Wiener considers systems involving elements of man and machine. The book is written for the intellectually alert public and does not involve any highly technical knowledge. It is based on lectures given at Yale, at the Société Philosophique de Royaumont, and elsewhere.
