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Valued Fields, Antonio J. Engler; Alexander Prestel


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Автор: Antonio J. Engler; Alexander Prestel
Название:  Valued Fields
ISBN: 9783642063459
Издательство: Springer
Классификация:



ISBN-10: 3642063454
Обложка/Формат: Paperback
Страницы: 208
Вес: 0.31 кг.
Дата издания: 21.10.2010
Серия: Springer Monographs in Mathematics
Язык: English
Размер: 155 x 233 x 17
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Absolute values and their completions - such as the p-adic number fields - play an important role in number theory. In valuation theory, the notion of completion must be replaced by that of Henselization. This book develops the theory of valuations as well as of Henselizations, based on the skills of a standard graduate course in algebra.


Banach Spaces of Vector-Valued Functions

Автор: Pilar Cembranos; Jose Mendoza
Название: Banach Spaces of Vector-Valued Functions
ISBN: 3540637451 ISBN-13(EAN): 9783540637455
Издательство: Springer
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Цена: 3766.00 р.
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Описание: Aims to answer the question of when the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces. A number of results are presented, along with the methods and techniques used, and the text assumes basic knowledge of Banach space theory.

Neural Fields

Автор: Stephen Coombes; Peter beim Graben; Roland Potthas
Название: Neural Fields
ISBN: 3642545920 ISBN-13(EAN): 9783642545924
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Neural field theory has a long-standing tradition in the mathematical and computational neurosciences.

Recent Developments in Fractals and Related Fields

Автор: Julien Barral; St?phane Seuret
Название: Recent Developments in Fractals and Related Fields
ISBN: 3319578030 ISBN-13(EAN): 9783319578033
Издательство: Springer
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Цена: 22359.00 р.
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Описание: Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, wavelets, potential theory, partial differential equations, fractal tilings, combinatorics, and signal and image processing.

Orthogonal Matrix-valued Polynomials and Applications

Автор: I. Gohberg
Название: Orthogonal Matrix-valued Polynomials and Applications
ISBN: 3034854749 ISBN-13(EAN): 9783034854740
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This paper is a largely expository account of the theory of p x p matrix polyno- mials associated with Hermitian block Toeplitz matrices and some related problems of interpolation and extension. , hn of p x p matrices with h-i = hj for j = 0, ... We let k = O, ... , hk and shall denote its 1 inverse H k by (k)] k [ r = .. k = O, ...

Topics in Interpolation Theory of Rational Matrix-valued Functions

Автор: I. Gohberg
Название: Topics in Interpolation Theory of Rational Matrix-valued Functions
ISBN: 3034854714 ISBN-13(EAN): 9783034854719
Издательство: Springer
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Цена: 11179.00 р.
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Описание: If one assurnes that the function does not have a pole or a zero at infinity, the formula which solves this problem is (1) where Zl , " " Z/ are the given zeros with given multiplicates nl, " " n / and Wb" " W are the given p poles with given multiplicities ml, .

Vector-valued Laplace Transforms and Cauchy Problems

Автор: Wolfgang Arendt; Charles J.K. Batty; Matthias Hieb
Название: Vector-valued Laplace Transforms and Cauchy Problems
ISBN: 3034803273 ISBN-13(EAN): 9783034803274
Издательство: Springer
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Цена: 19564.00 р.
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Описание: In addition to systematic coverage of vector-valued Laplace transform theory, ranging from representation to Tauberian theorems, this second edition develops the theory of linear Cauchy problems and semigroups of operators and introduces the Bochner integral.

Set-Valued Mappings and Enlargements of Monotone Operators

Автор: Regina S. Burachik; Alfredo N. Iusem
Название: Set-Valued Mappings and Enlargements of Monotone Operators
ISBN: 1441943463 ISBN-13(EAN): 9781441943460
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This is the first comprehensive book treatment of the emerging subdiscipline of set-valued mapping and enlargements of maximal monotone operators. Throughout the text, examples help readers make the bridge from theory to application. Numerous exercises are also offered to enable readers to apply and build their own skills and knowledge.

Functional Analysis and Related Fields

Автор: F. E. Browder
Название: Functional Analysis and Related Fields
ISBN: 3642482740 ISBN-13(EAN): 9783642482748
Издательство: Springer
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Цена: 6986.00 р.
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Описание: 1968, a Conference on Functional Analysis and Related Fields was held at the Center for Continuing Education of the University cl Chicago in honor of ProfessoLMARSHALL HARVEY STONE on the occasion of his retirement from active service at the University. The present volume contains some of the papers presented at the Conference.

Functional Analysis and Related Fields

Автор: Felix E. Browder
Название: Functional Analysis and Related Fields
ISBN: 3642496164 ISBN-13(EAN): 9783642496165
Издательство: Springer
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Цена: 11878.00 р.
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Neural Fields

Автор: Stephen Coombes; Peter beim Graben; Roland Potthas
Название: Neural Fields
ISBN: 3662515113 ISBN-13(EAN): 9783662515112
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Robinson, Bressloff, Wright and Haken. Since then, much progress has been made in both, the development of mathematical and numerical techniques and in physiological refinement und understanding. In contrast to large-scale neural network models described by huge connectivity matrices that are computationally expensive in numerical simulations, neural field models described by connectivity kernels allow for analytical treatment by means of methods from functional analysis. Thus, a number of rigorous results on the existence of bump and wave solutions or on inverse kernel construction problems are nowadays available. Moreover, neural fields provide an important interface for the coupling of neural activity to experimentally observable data, such as the electroencephalogram (EEG) or functional magnetic resonance imaging (fMRI). And finally, neural fields over rather abstract feature spaces, also called dynamic fields, found successful applications in the cognitive sciences and in robotics. Up to now, research results in neural field theory have been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. There is no comprehensive collection of results or reviews available yet. With our proposed book Neural Field Theory, we aim at filling this gap in the market. We received consent from some of the leading scientists in the field, who are willing to write contributions for the book, among them are two of the founding-fathers of neural field theory: Shun-ichi Amari and Jack Cowan.


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