An Introduction to Symmetric Functions and Their Combinatorics, Eric S. Egge
Автор: Macdonald I. G. Название: Symmetric Functions and Hall Polynomials ISBN: 0198739125 ISBN-13(EAN): 9780198739128 Издательство: Oxford Academ Рейтинг: Цена: 57030.00 T Наличие на складе: Поставка под заказ. Описание: Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.
Автор: Remmel Jeffrey Название: Counting with Symmetric Functions ISBN: 3319236172 ISBN-13(EAN): 9783319236179 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Counting with Symmetric Functions
Автор: Huan-nan Shi Название: Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities ISBN: 3110606127 ISBN-13(EAN): 9783110606126 Издательство: Walter de Gruyter Рейтинг: Цена: 149940.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.
Автор: Audrey Terras Название: Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincar? Upper Half-Plane ISBN: 1493950134 ISBN-13(EAN): 9781493950133 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers an introduction to harmonic analysis on the simplest symmetric spaces. It places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.
Автор: Valery V. Volchkov; Vitaly V. Volchkov Название: Offbeat Integral Geometry on Symmetric Spaces ISBN: 3034808003 ISBN-13(EAN): 9783034808002 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book surveys the development of integral geometry on domains of homogeneous spaces, covering analysis of multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group.
Автор: Michio Kuga Название: Kuga Varieties: Fiber Varieties Over a Symmetric Space Whose Fibers are Abelian Varieties ISBN: 7040503042 ISBN-13(EAN): 9787040503043 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 60990.00 T Наличие на складе: Невозможна поставка. Описание: Kuga varieties are fiber varieties over symmetric spaces whose fibers are abelian varieties and have played an important role in the theory of Shimura varieties and number theory. This book is the first systematic exposition of these varieties and was written by their creators. It contains four chapters. Chapter 1 gives a detailed generalization to vector valued harmonic forms. These results are applied to construct Kuga varieties in Chapter 2 and to understand their cohomology groups. Chapter 3 studies Hecke operators, which are the most basic operators in modular forms. All the previous results are applied in Chapter 4 to prove the modularity property of certain Kuga varieties. Note that the modularity property of elliptic curves is the key ingredient of Wiles' proof of Fermat's Last Theorem. This book also contains one of Weil's letters and a paper by Satake which are relevant to the topic of the book.
Автор: Enli Guo; Xiaohuan Mo Название: The Geometry of Spherically Symmetric Finsler Manifolds ISBN: 9811315973 ISBN-13(EAN): 9789811315978 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Поставка под заказ. Описание: This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns domains in R^n with spherically symmetric metrics.Recently, a significant progress has been made in studying Riemannian-Finsler geometry. However, constructing nice examples of Finsler metrics turn out to be very difficult. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using PDE technique. The studying of spherically symmetric geometry shows closed relation among geometry, group and equation.
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