Matrix Analysis and Entrywise Positivity Preservers

Matrix Analysis and Entrywise Positivity Preservers PDF Author: Apoorva Khare
Publisher:
ISBN: 9781108867122
Category : Composition operators
Languages : en
Pages :

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Book Description

Matrix Analysis and Entrywise Positivity Preservers

Matrix Analysis and Entrywise Positivity Preservers PDF Author: Apoorva Khare
Publisher:
ISBN: 9781108867122
Category : Composition operators
Languages : en
Pages :

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Book Description


Complex Analysis and Spectral Theory

Complex Analysis and Spectral Theory PDF Author: H. Garth Dales
Publisher: American Mathematical Soc.
ISBN: 1470446928
Category : Education
Languages : en
Pages : 280

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Book Description
This volume contains the proceedings of the Conference on Complex Analysis and Spectral Theory, in celebration of Thomas Ransford's 60th birthday, held from May 21–25, 2018, at Laval University, Québec, Canada. Spectral theory is the branch of mathematics devoted to the study of matrices and their eigenvalues, as well as their infinite-dimensional counterparts, linear operators and their spectra. Spectral theory is ubiquitous in science and engineering because so many physical phenomena, being essentially linear in nature, can be modelled using linear operators. On the other hand, complex analysis is the calculus of functions of a complex variable. They are widely used in mathematics, physics, and in engineering. Both topics are related to numerous other domains in mathematics as well as other branches of science and engineering. The list includes, but is not restricted to, analytical mechanics, physics, astronomy (celestial mechanics), geology (weather modeling), chemistry (reaction rates), biology, population modeling, economics (stock trends, interest rates and the market equilibrium price changes). There are many other connections, and in recent years there has been a tremendous amount of work on reproducing kernel Hilbert spaces of analytic functions, on the operators acting on them, as well as on applications in physics and engineering, which arise from pure topics like interpolation and sampling. Many of these connections are discussed in articles included in this book.

Matrix Positivity

Matrix Positivity PDF Author: Charles R. Johnson
Publisher: Cambridge University Press
ISBN: 1108478719
Category : Mathematics
Languages : en
Pages : 223

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Book Description
This comprehensive reference, for mathematical, engineering and social scientists, covers matrix positivity classes and their applications.

Surveys in Combinatorics 2024

Surveys in Combinatorics 2024 PDF Author: Felix Fischer
Publisher: Cambridge University Press
ISBN: 1009490532
Category : Mathematics
Languages : en
Pages : 305

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Book Description
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.

Groups and Graphs, Designs and Dynamics

Groups and Graphs, Designs and Dynamics PDF Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 1009465945
Category : Mathematics
Languages : en
Pages : 452

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Book Description
This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. It leads students from the very beginnings in linear algebra to high-level applications: representations of finite groups, leading to probability models and harmonic analysis; eigenvalues of growing graphs from quantum probability techniques; statistical optimality of designs from Laplacian eigenvalues of graphs; and symbolic dynamics, applying matrix stability and K-theory. An invaluable resource for researchers and beginning Ph.D. students, this book includes copious exercises, notes, and references.

Discrete Quantum Walks on Graphs and Digraphs

Discrete Quantum Walks on Graphs and Digraphs PDF Author: Chris Godsil
Publisher: Cambridge University Press
ISBN: 1009261681
Category : Computers
Languages : en
Pages : 151

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Book Description
Explore the mathematics arising from discrete quantum walks in this introduction to a rapidly developing area.

Analysis of Operators on Function Spaces

Analysis of Operators on Function Spaces PDF Author: Alexandru Aleman
Publisher: Springer
ISBN: 3030146405
Category : Mathematics
Languages : en
Pages : 281

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Book Description
This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in the summer of 2018. The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in one or several variables. The expository articles reflecting the current status of several well-established and very dynamical areas of research will be accessible and useful to advanced graduate students and young researchers in pure and applied mathematics, and also to engineers and physicists using complex analysis methods in their investigations.

An Indefinite Excursion in Operator Theory

An Indefinite Excursion in Operator Theory PDF Author: Aurelian Gheondea
Publisher: Cambridge University Press
ISBN: 1108969038
Category : Mathematics
Languages : en
Pages : 511

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Book Description
Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.

Modern Trends in Algebra and Representation Theory

Modern Trends in Algebra and Representation Theory PDF Author: David Jordan
Publisher: Cambridge University Press
ISBN: 1009097350
Category : Mathematics
Languages : en
Pages : 407

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Book Description
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.

Maurer–Cartan Methods in Deformation Theory

Maurer–Cartan Methods in Deformation Theory PDF Author: Vladimir Dotsenko
Publisher: Cambridge University Press
ISBN: 1108965644
Category : Mathematics
Languages : en
Pages : 187

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Book Description
Covering an exceptional range of topics, this text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.