# Studies In Memory Of Issai Schur

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## Studies in Memory of Issai Schur

Author | : Anthony Joseph,Anna Melnikov,Rudolf Rentschler |

Publsiher | : Springer Science & Business Media |

Total Pages | : 369 |

Release | : 2012-12-06 |

ISBN | : 1461200458 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Studies in Memory of Issai Schur Book Excerpt:**

This volume Studies in Memory of Issai Schur was conceived as a tribute to Schur's of his tragic end. His impact on great contributions to mathematics and in remembrance of mathematicians Representation Theory alone was so great that a significant number of Researchers (TMR) Network, in the European Community Training and Mobility Orbits, Crystals and Representation Theory, in operation during the period (1997-2002) have been occupied with what has been called Schur theory. Consequently, this volume has the additional purpose of recording some of the significant results of the network. It was furthermore appropriate that invited contributors should be amongst the speakers at the Paris Midterm Workshop of the network held at Chevaleret during 21-25 May, 2000 as well as those of the Schur Memoriam Workshop held at the Weizmann Institute, Rehovot, during 27-31 December 2000. The latter marked the sixtieth anniversary of Schur's passing and took place in the 125th year of his birth.

## The Schur Complement and Its Applications

Author | : Fuzhen Zhang |

Publsiher | : Springer Science & Business Media |

Total Pages | : 295 |

Release | : 2006-03-30 |

ISBN | : 0387242732 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**The Schur Complement and Its Applications Book Excerpt:**

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.

## Contributions to Probability and Statistics Applications and Challenges

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 2022 |

ISBN | : 9814476471 |

Category | : Electronic Book |

Language | : EN, FR, DE, ES & NL |

**Contributions to Probability and Statistics Applications and Challenges Book Excerpt:**

## Mathematical Reviews

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 2005 |

ISBN | : 1928374650XXX |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Mathematical Reviews Book Excerpt:**

## Complex Function Theory Operator Theory Schur Analysis and Systems Theory

Author | : Daniel Alpay,Bernd Fritzsche,Bernd Kirstein |

Publsiher | : Springer Nature |

Total Pages | : 581 |

Release | : 2020-09-19 |

ISBN | : 3030448193 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Complex Function Theory Operator Theory Schur Analysis and Systems Theory Book Excerpt:**

This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today. Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).

## Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

Author | : Karl-Heinz Förster,Peter Jonas,Heinz Langer |

Publsiher | : Springer Science & Business Media |

Total Pages | : 308 |

Release | : 2006-03-16 |

ISBN | : 3764374535 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems Book Excerpt:**

This volume contains a collection of recent original research papers in operator theory in Krein spaces, on generalized Nevanlinna functions, which are closely connected with this theory, and on nonlinear eigenvalue problems. Key topics: - spectral theory for normal operators in Krein spaces - perturbation theory for selfadjoint operators in Krein spaces - models for generalized Nevanlinna functions

## The Mathematics of Frobenius in Context

Author | : Thomas Hawkins |

Publsiher | : Springer Science & Business Media |

Total Pages | : 699 |

Release | : 2013-07-23 |

ISBN | : 1461463335 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**The Mathematics of Frobenius in Context Book Excerpt:**

Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.

## Studies in Lie Theory

Author | : Anthony Joseph,Joseph Bernstein |

Publsiher | : Springer Science & Business Media |

Total Pages | : 494 |

Release | : 2006-01-26 |

ISBN | : 9780817643423 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Studies in Lie Theory Book Excerpt:**

Dedicated to Tony Joseph in honor of his 60th birhday, this volume contains two surveys and sixteen invited research articles by distinguished experts in representation theory, focusing on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject.

## Topics in Cohomological Studies of Algebraic Varieties

Author | : Piotr Pragacz |

Publsiher | : Springer Science & Business Media |

Total Pages | : 300 |

Release | : 2006-03-30 |

ISBN | : 3764373423 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Topics in Cohomological Studies of Algebraic Varieties Book Excerpt:**

The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis

## In Foreign Lands The Migration of Scientists for Political or Economic Reasons

Author | : Maria Teresa Borgato |

Publsiher | : Springer Nature |

Total Pages | : 135 |

Release | : 2022 |

ISBN | : 3030802493 |

Category | : Electronic Book |

Language | : EN, FR, DE, ES & NL |

**In Foreign Lands The Migration of Scientists for Political or Economic Reasons Book Excerpt:**

## The Moment Problem

Author | : Konrad Schmüdgen |

Publsiher | : Springer |

Total Pages | : 512 |

Release | : 2017-11-09 |

ISBN | : 3319645463 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**The Moment Problem Book Excerpt:**

This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments. In both the one-dimensional and multidimensional cases, the full and truncated moment problems are carefully treated separately. Fundamental concepts, results and methods are developed in detail and accompanied by numerous examples and exercises. Particular attention is given to powerful modern techniques such as real algebraic geometry and Hilbert space operators. A wide range of important aspects are covered, including the Nevanlinna parametrization for indeterminate moment problems, canonical and principal measures for truncated moment problems, the interplay between Positivstellensätze and moment problems on semi-algebraic sets, the fibre theorem, multidimensional determinacy theory, operator-theoretic approaches, and the existence theory and important special topics of multidimensional truncated moment problems. The Moment Problem will be particularly useful to graduate students and researchers working on moment problems, functional analysis, complex analysis, harmonic analysis, real algebraic geometry, polynomial optimization, or systems theory. With notes providing useful background information and exercises of varying difficulty illustrating the theory, this book will also serve as a reference on the subject and can be used for self-study.

## Orthogonal Polynomials on the Unit Circle

Author | : Barry Simon |

Publsiher | : American Mathematical Soc. |

Total Pages | : 466 |

Release | : 2009-08-05 |

ISBN | : 0821848631 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Orthogonal Polynomials on the Unit Circle Book Excerpt:**

This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szego's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by $z$ (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.

## Handbook of Tilting Theory

Author | : Lidia Angeleri Hügel,Dieter Happel,Henning Krause |

Publsiher | : Cambridge University Press |

Total Pages | : 472 |

Release | : 2007-01-04 |

ISBN | : 9780521680455 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Handbook of Tilting Theory Book Excerpt:**

A handbook of key articles providing both an introduction and reference for newcomers and experts alike.

## Asymptotic Combinatorics with Applications to Mathematical Physics

Author | : European Mathematical Summer School (2001 : St. Petersburg) |

Publsiher | : Springer Science & Business Media |

Total Pages | : 250 |

Release | : 2003 |

ISBN | : 3540403124 |

Category | : Combinatorial analysis |

Language | : EN, FR, DE, ES & NL |

**Asymptotic Combinatorics with Applications to Mathematical Physics Book Excerpt:**

At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.

## Representations of the Infinite Symmetric Group

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 2022 |

ISBN | : 1107175550 |

Category | : Electronic Book |

Language | : EN, FR, DE, ES & NL |

**Representations of the Infinite Symmetric Group Book Excerpt:**

## Symmetric Functions and Combinatorial Operators on Polynomials

Author | : Alain Lascoux |

Publsiher | : American Mathematical Soc. |

Total Pages | : 268 |

Release | : 2022 |

ISBN | : 9780821889435 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Symmetric Functions and Combinatorial Operators on Polynomials Book Excerpt:**

The theory of symmetric functions is an old topic in mathematics which is used as an algebraic tool in many classical fields. With $\lambda$-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of $\lambda$-rings. The main applications of this technique to the theory of symmetric functions are related to the Euclid algorithm and itsoccurrence in division, continued fractions, Pade approximants, and orthogonal polynomials. Putting the emphasis on the symmetric group instead of symmetric functions, one can extend the theory to non-symmetric polynomials, with Schur functions being replaced by Schubert polynomials. In two independentchapters, the author describes the main properties of these polynomials, following either the approach of Newton and interpolation methods or the method of Cauchy. The last chapter sketches a non-commutative version of symmetric functions, using Young tableaux and the plactic monoid. The book contains numerous exercises clarifying and extending many points of the main text. It will make an excellent supplementary text for a graduate course in combinatorics.

## Mexican Mathematicians Abroad

Author | : Noé Bárcenas,Fernando Galaz-García,Mónica Moreno Rocha |

Publsiher | : American Mathematical Soc. |

Total Pages | : 237 |

Release | : 2016-02-01 |

ISBN | : 1470421925 |

Category | : Mathematicians |

Language | : EN, FR, DE, ES & NL |

**Mexican Mathematicians Abroad Book Excerpt:**

This volume contains the proceedings of the First Workshop “Matemáticos Mexicanos Jóvenes en el Mundo”, held from August 22–24, 2012, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. - See more at: http://bookstore.ams.org/conm-657/#sthash.cUjwTcvX.dpuf This volume contains the proceedings of the First Workshop "Matemáticos Mexicanos Jóvenes en el Mundo", held from August 22-24, 2012, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. One of the main goals of this meeting was to present different research directions being pursued by young Mexican mathematicians based in other countries, such as Brazil, Canada, Colombia, Estonia, Germany, Spain and the United States, showcasing research lines currently underrepresented in Mexico. Featured are survey and research articles in six areas: algebra, analysis, applied mathematics, geometry, probability and topology. Their topics range from current developments related to well-known open problems to novel interactions between pure mathematics and computer science. Most of the articles provide a panoramic view of the fields and problems the authors work on, making the book accessible to advanced graduate students and researchers in mathematics from different fields. This book is published in cooperation with Sociedad Matemática Mexicana.

## Recent Advances in Representation Theory Quantum Groups Algebraic Geometry and Related Topics

Author | : Pramod M. Achar,Dijana Jakelić,Kailash C. Misra,Milen Yakimov |

Publsiher | : American Mathematical Society |

Total Pages | : 280 |

Release | : 2014-08-27 |

ISBN | : 0821898523 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Recent Advances in Representation Theory Quantum Groups Algebraic Geometry and Related Topics Book Excerpt:**

This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.

## Szeg s Theorem and Its Descendants

Author | : Barry Simon |

Publsiher | : Princeton University Press |

Total Pages | : 664 |

Release | : 2010-11-08 |

ISBN | : 1400837057 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Szeg s Theorem and Its Descendants Book Excerpt:**

This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomials for measures supported on a finite number of intervals on the real line. In addition to the Szego and Killip-Simon theorems for orthogonal polynomials on the unit circle (OPUC) and orthogonal polynomials on the real line (OPRL), Simon covers Toda lattices, the moment problem, and Jacobi operators on the Bethe lattice. Recent work on applications of universality of the CD kernel to obtain detailed asymptotics on the fine structure of the zeros is also included. The book places special emphasis on OPRL, which makes it the essential companion volume to the author's earlier books on OPUC.

## Spectral Theory in Inner Product Spaces and Applications

Author | : Jussi Behrndt,Karl-Heinz Förster,Heinz Langer,Carsten Trunk |

Publsiher | : Springer Science & Business Media |

Total Pages | : 250 |

Release | : 2009-01-21 |

ISBN | : 3764389117 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Spectral Theory in Inner Product Spaces and Applications Book Excerpt:**

Contains a collection of research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17. This work discusses topics such as linear relations, singular perturbations, de Branges spaces, nonnegative matrices, and abstract kinetic equations.