Mathematics from Leningrad to Austin

Mathematics from Leningrad to Austin PDF Author: George G. Lorentz
Publisher:
ISBN: 9783764337100
Category :
Languages : en
Pages : 548

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Mathematics from Leningrad to Austin

Mathematics from Leningrad to Austin PDF Author: George G. Lorentz
Publisher:
ISBN: 9783764337100
Category :
Languages : en
Pages : 548

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Book Description


Mathematics from Leningrad to Austin

Mathematics from Leningrad to Austin PDF Author: George G. Lorentz
Publisher:
ISBN: 9783764339227
Category :
Languages : en
Pages : 648

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Tauberian Theory

Tauberian Theory PDF Author: Jacob Korevaar
Publisher: Springer Science & Business Media
ISBN: 3662102250
Category : Mathematics
Languages : en
Pages : 497

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Book Description
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.

Foundations of Symmetric Spaces of Measurable Functions

Foundations of Symmetric Spaces of Measurable Functions PDF Author: Ben-Zion A. Rubshtein
Publisher: Springer
ISBN: 331942758X
Category : Mathematics
Languages : en
Pages : 262

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Book Description
Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and mathematical physics noteworthy and useful. This book is intended for graduate students and researchers in mathematics and may be used as a general reference for the theory of functions, measure theory, and functional analysis. This self-contained text is presented in four parts totaling seventeen chapters to correspond with a one-semester lecture course. Each of the four parts begins with an overview and is subsequently divided into chapters, each of which concludes with exercises and notes. A chapter called “Complements” is included at the end of the text as supplementary material to assist students with independent work.

The History of Approximation Theory

The History of Approximation Theory PDF Author: Karl-Georg Steffens
Publisher: Springer Science & Business Media
ISBN: 081764475X
Category : Mathematics
Languages : en
Pages : 219

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Book Description
* Exciting exposition integrates history, philosophy, and mathematics * Combines a mathematical analysis of approximation theory with an engaging discussion of the differing philosophical underpinnings behind its development * Appendices containing biographical data on numerous eminent mathematicians, explanations of Russian nomenclature and academic degrees, and an excellent index round out the presentation

History of Banach Spaces and Linear Operators

History of Banach Spaces and Linear Operators PDF Author: Albrecht Pietsch
Publisher: Springer Science & Business Media
ISBN: 0817645969
Category : Mathematics
Languages : en
Pages : 877

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Book Description
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.

Mathematics from Leningrad to Austin, Volume 2

Mathematics from Leningrad to Austin, Volume 2 PDF Author: Rudolph A. Lorentz
Publisher: Springer Science & Business Media
ISBN: 9780817639228
Category : Mathematics
Languages : en
Pages : 688

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Book Description
The works of George G. Lorentz, spanning more than 60 years, have played a significant role in the development and evolution of mathematical analysis. The papers presented in this volume represent a selection of his best works, along with commentary from his students and colleagues.

The Bulletin of Mathematics Books

The Bulletin of Mathematics Books PDF Author:
Publisher:
ISBN:
Category : Computer software
Languages : en
Pages :

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Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1236

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Book Description


The History and Philosophy of Polish Logic

The History and Philosophy of Polish Logic PDF Author: K. Mulligan
Publisher: Springer
ISBN: 1137030895
Category : Philosophy
Languages : en
Pages : 324

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Book Description
The book presents the state of the art of research into the legacy of interwar Polish analytic philosophy and exemplifies different approaches to the history of philosophy. It contains discussions and reconstructions of aspects of Polish philosophy and logic as well as reactions to and developments of this tradition.