An Indefinite Excursion In Operator Theory
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An Indefinite Excursion In Operator Theory
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Author : Aurelian Gheondea
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-28
An Indefinite Excursion In Operator Theory written by Aurelian Gheondea 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 2022-07-28 with Mathematics categories.
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.
An Indefinite Excursion In Operator Theory
DOWNLOAD
Author : Aurelian Gheondea
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-28
An Indefinite Excursion In Operator Theory written by Aurelian Gheondea 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 2022-07-28 with Mathematics categories.
Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.
Discrete Quantum Walks On Graphs And Digraphs
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Author : Chris Godsil
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-12
Discrete Quantum Walks On Graphs And Digraphs written by Chris Godsil 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 2023-01-12 with Computers categories.
Explore the mathematics arising from discrete quantum walks in this introduction to a rapidly developing area.
Excursions In Harmonic Analysis Volume 2
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Author : Travis D Andrews
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-04
Excursions In Harmonic Analysis Volume 2 written by Travis D Andrews 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.
The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.
Modern Trends In Algebra And Representation Theory
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Author : David Jordan
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17
Modern Trends In Algebra And Representation Theory written by David Jordan 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 2023-08-17 with Mathematics categories.
Aimed at graduate students and non-experts, this text gives a guided tour of modern developments in algebra and representation theory.
Maurer Cartan Methods In Deformation Theory
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Author : Vladimir Dotsenko
language : en
Publisher: Cambridge University Press
Release Date : 2023-09-07
Maurer Cartan Methods In Deformation Theory written by Vladimir Dotsenko 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 2023-09-07 with Mathematics categories.
A unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics.
Elliptic Regularity Theory By Approximation Methods
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Author : Edgard A. Pimentel
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-29
Elliptic Regularity Theory By Approximation Methods written by Edgard A. Pimentel 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 2022-09-29 with Mathematics categories.
Presenting the basics of elliptic PDEs in connection with regularity theory, the book bridges fundamental breakthroughs – such as the Krylov–Safonov and Evans–Krylov results, Caffarelli's regularity theory, and the counterexamples due to Nadirashvili and Vlăduţ – and modern developments, including improved regularity for flat solutions and the partial regularity result. After presenting this general panorama, accounting for the subtleties surrounding C-viscosity and Lp-viscosity solutions, the book examines important models through approximation methods. The analysis continues with the asymptotic approach, based on the recession operator. After that, approximation techniques produce a regularity theory for the Isaacs equation, in Sobolev and Hölder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hölder continuity for the Hessian of the solutions by connecting the problem with a Bellman equation. To complete the book, degenerate models are studied and their optimal regularity is described.
Stacks Project Expository Collection
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Author : Pieter Belmans
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-27
Stacks Project Expository Collection written by Pieter Belmans 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 2022-10-27 with Mathematics categories.
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne–Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.
Surveys In Combinatorics 2022
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Author : Anthony Nixon
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Surveys In Combinatorics 2022 written by Anthony Nixon 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 2022-06-09 with Mathematics categories.
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Rectifiability
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Author : Pertti Mattila
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-12
Rectifiability written by Pertti Mattila 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 2023-01-12 with Mathematics categories.
Rectifiable sets, measures, currents and varifolds are foundational concepts in geometric measure theory. The last four decades have seen the emergence of a wealth of connections between rectifiability and other areas of analysis and geometry, including deep links with the calculus of variations and complex and harmonic analysis. This short book provides an easily digestible overview of this wide and active field, including discussions of historical background, the basic theory in Euclidean and non-Euclidean settings, and the appearance of rectifiability in analysis and geometry. The author avoids complicated technical arguments and long proofs, instead giving the reader a flavour of each of the topics in turn while providing full references to the wider literature in an extensive bibliography. It is a perfect introduction to the area for researchers and graduate students, who will find much inspiration for their own research inside.