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An Algebraic Geometric Approach to Separation of Variables, Konrad Sch?bel


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Автор: Konrad Sch?bel
Название:  An Algebraic Geometric Approach to Separation of Variables
ISBN: 9783658114077
Издательство: Springer
Классификация:



ISBN-10: 365811407X
Обложка/Формат: Paperback
Страницы: 138
Вес: 0.21 кг.
Дата издания: 27.10.2015
Язык: English
Размер: 210 x 148 x 9
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Konrad Sch bel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics. The present work reveals a surprising algebraic geometric structure behind the famous list of separation coordinates, bringing together a great range of mathematics and mathematical physics, from the late 19th century theory of separation of variables to modern moduli space theory, Stasheff polytopes and operads.

I am particularly impressed by his mastery of a variety of techniques and his ability to show clearly how they interact to produce his results. (Jim Stasheff)




Analytic Function Theory of Several Variables

Автор: Noguchi
Название: Analytic Function Theory of Several Variables
ISBN: 9811002894 ISBN-13(EAN): 9789811002892
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This defines a unique character of the book compared with other books on this subject, in which the notion of coherence appears much later.The present book, consisting of nine chapters, gives complete treatments of the following items: Coherence of sheaves of holomorphic functions (Chap.

Optimization of Polynomials in Non-Commuting Variables

Автор: Burgdorf
Название: Optimization of Polynomials in Non-Commuting Variables
ISBN: 3319333364 ISBN-13(EAN): 9783319333366
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This bookpresents recent results on positivity and optimization of polynomials innon-commuting variables. Researchers in non-commutative algebraic geometry,control theory, system engineering, optimization, quantum physics andinformation science will find the unified notation and mixture of algebraicgeometry and mathematical programming useful. Theoretical results are matchedwith algorithmic considerations; several examples and information on how to useNCSOStools open source package to obtain the results provided. Results arepresented on detecting the eigenvalue and trace positivity of polynomials innon-commuting variables using Newton chip method and Newton cyclic chip method,relaxations for constrained and unconstrained optimization problems, semidefiniteprogramming formulations of the relaxations and finite convergence of thehierarchies of these relaxations, and the practical efficiency of algorithms.

Geometry And Analysis Of Automorphic Forms Of Several Variables - Proceedings Of The International Symposium In Honor Of Takayuki Oda On The Occasion Of His 60Th Birthday

Автор: Hamahata Yoshinori Et Al
Название: Geometry And Analysis Of Automorphic Forms Of Several Variables - Proceedings Of The International Symposium In Honor Of Takayuki Oda On The Occasion Of His 60Th Birthday
ISBN: 9814355593 ISBN-13(EAN): 9789814355599
Издательство: World Scientific Publishing
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Цена: 21701.00 р.
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Описание: Contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda`s 60th birthday. This title presents both research and survey articles in the fields that are the main themes of his work.

Limit Theorems for Multi-Indexed Sums of Random Variables

Автор: Oleg Klesov
Название: Limit Theorems for Multi-Indexed Sums of Random Variables
ISBN: 3662443872 ISBN-13(EAN): 9783662443873
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes.Limit theorems form the backbone of probability theory and statistical theory alike.

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431562133 ISBN-13(EAN): 9784431562139
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

L? Approaches in Several Complex Variables

Автор: Takeo Ohsawa
Название: L? Approaches in Several Complex Variables
ISBN: 4431562966 ISBN-13(EAN): 9784431562962
Издательство: Springer
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Цена: 9781.00 р.
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Описание:

Part I Holomorphic Functions and Complex Spaces.- Convexity Notions.- Complex Manifolds.- Classical Questions of Several Complex Variables.- Part II The Method of L Estimates.- Basics of Hilb

ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III L Variant of Oka-Cartan Theory.- Extension Theorems.- Division Theorems.- Multiplier Ideals.- Part IV Bergman Kernels.- The Bergman Kernel and Metric.- Bergman Spaces and Associated Kernels.- Sequences of Bergman Kernels.- Parameter Dependence.- Part V L Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- L Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces.

Toeplitz Operators and Index Theory in Several Complex Variables

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3764352825 ISBN-13(EAN): 9783764352820
Издательство: Springer
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Цена: 23751.00 р.
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Описание: This volume provides a detailed description of important geometric settings encountered in multi-variable complex analysis. There is a thorough exposition of the harmonic analysis background, and treatment of topics of current interest.

Several Complex Variables VII

Автор: H. Grauert; F. Campana; Thomas Peternell; G. Dethl
Название: Several Complex Variables VII
ISBN: 3642081509 ISBN-13(EAN): 9783642081507
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.

Toeplitz Operators and Index Theory in Several Complex Variables

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3034899602 ISBN-13(EAN): 9783034899604
Издательство: Springer
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Цена: 23751.00 р.
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Описание: 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4.

Several Complex Variables II

Автор: L.A. Aizenberg; P.M. Gauthier; G.M. Khenkin; A.G.
Название: Several Complex Variables II
ISBN: 3642633919 ISBN-13(EAN): 9783642633911
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functions in complex space en and others.


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