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Analytic Extension Formulas and their Applications, Saitoh S., Hayashi N., Yamamoto M.



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Автор: Saitoh S., Hayashi N., Yamamoto M.
Название:  Analytic Extension Formulas and their Applications
Издательство: Springer
Классификация:
Дифферунциально и интегральное исчисление и математический анализ

ISBN: 0792369505
ISBN-13(EAN): 9780792369509
ISBN: 0-7923-6950-5
ISBN-13(EAN): 978-0-7923-6950-9
Обложка/Формат: Hardback
Страницы: 296
Вес: 0.597 кг.
Дата издания: 2001
Серия: International Society for Analysis, Applications and Computation
Иллюстрации: Biography
Размер: 235 x 155 x 17
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few. Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems.
Дополнительное описание: Формат: 240x160
Ключевые слова:
Язык: eng
Оглавление: Preface. 1. Extending holomorphic functions from subvarieties; K. Adachi. 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates; K. Amano, et al. 3. Uniqueness in determining damping coefficients in hyperbolic equations; A.L. Bukhgeim, et al. 4. Analytic continuation of Cauchy and exponential transforms; B. Gustafsson, M. Putinar. 5. Analytic function spaces and their applications to nonlinear evolution equations; N. Hayashi. 6. A sampling principle associated with Saitoh's fundamental theory of linear transformations; J.R. Higgins. 7. The enclosure method and its applications; M. Ikehata. 8. On analytic properties of a multiple L-function; H. Ishikawa. 9. Multi-dimensional inverse scattering theory; H. Isozaki. 10. Holomorphic spaces related to orthogonal polynomials and analytic continuation of functions; D. Karp. 11. Extension and division on complex manifolds; T. Ohsawa. 12. Analytic extension formulas, integral transforms and reproducing kernels; S. Saitoh. 13. Analytic continuation beyond the ideal boundary; M. Shiba. 14. Justification of a formal derivation of the Euler-Maclaurin summation formula; M. Sugihara. 15. Extension of LГ¶wner-Heinz inequality via analytic continuation; M. Uchiyama. 16. The Calogero-Moser model, the Calogero model and analytic extension; S. Watanabe.





Optimal Domain and Integral Extension of Operators

Автор: Okada
Название: Optimal Domain and Integral Extension of Operators
ISBN: 3764386479 ISBN-13(EAN): 9783764386474
Издательство: Springer
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Цена: 10752 р.
Наличие на складе: Поставка под заказ.

Описание: This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator.

Extension problems in complex and CR-geometry

Автор: Alberto Saracco
Название: Extension problems in complex and CR-geometry
ISBN: 8876423389 ISBN-13(EAN): 9788876423383
Издательство: Springer
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Цена: 1683 р.
Наличие на складе: Поставка под заказ.

Описание: Presents a survey of some aspects of extension problems in Complex Analysis and Geometry. Recalling the preliminary and necessary notions of complex analysis, this title presents a survey that focuses on extension of holomorphic functions on the reflection principle, on extension results via cohomology vanishing, and on the boundary problem.

Several complex variables and integral formulas

Название: Several complex variables and integral formulas
ISBN: 9812705740 ISBN-13(EAN): 9789812705747
Издательство: World Scientific Publishing
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Цена: 11779 р.
Наличие на складе: Поставка под заказ.

Описание: This volume is an introductory text in several complex variables, using methods of integral representations and Hilbert space theory. It investigates mainly the studies of the estimate of solutions of the Cauchy-Riemann equations in pseudoconvex domains and the extension of holomorphic functions in submanifolds of pseudoconvex domains which were developed in the last 50 years. We discuss the two main results mentioned above by two different methods: the integral formulas and the Hilbert space techniques.

The theorems concerning general pseudoconvex domains are analyzed using Hilbert space theory, and the proofs for theorems concerning strictly pseudoconvex domains are solved using integral representations. This volume is written in a self-contained style, so that the proofs are easily accessible to beginners. There are exercises featured at the end of each chapter to aid readers to better understand the materials of this volume.

Fairly detailed hints are articulated to solve these exercises.

Pocket Book of Integrals and Mathematical Formulas

Автор: Tallarida Ronald J
Название: Pocket Book of Integrals and Mathematical Formulas
ISBN: 1498704751 ISBN-13(EAN): 9781498704755
Издательство: Taylor&Francis
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Цена: 2716 р.
Наличие на складе: Невозможна поставка.

Описание:

Pocket Book of Integrals and Mathematical Formulas, 5th Edition covers topics ranging from precalculus to vector analysis and from Fourier series to statistics, presenting numerous worked examples to demonstrate the application of the formulas and methods. This popular pocket book is an essential source for students of calculus and higher mathematics courses. It also provides an easy-to-use, accessible reference for mathematicians, engineers, scientists, and others seeking vital mathematical formulas, concepts, and definitions.

Enlarging the type without sacrificing special topics involving financial mathematics and number theory, this 5th Edition:

  • Includes several classic calculus applications that illustrate the power and practical use of calculus
  • Discusses an interesting offshoot of Fermat's last theorem, namely, "near misses"
  • Reformats and revises the table of integrals for improved clarity and accuracy

Through careful selection of topics and detail, Pocket Book of Integrals and Mathematical Formulas, 5th Edition remains a portable yet comprehensive resource for students and professionals, containing the most important mathematical formulas for engineering and scientific applications.

Vector Optimization / Theory, Applications, and Extensions

Автор: Jahn Johannes
Название: Vector Optimization / Theory, Applications, and Extensions
ISBN: 3540206159 ISBN-13(EAN): 9783540206156
Издательство: Springer
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Цена: 9813 р.
Наличие на складе: Поставка под заказ.

Описание: This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.

Selected Works of S.L. Sobolev / Volume I: Equations of Mathematical Physics, Computational Mathematics, and Cubature Formulas

Автор: Demidenko Gennadii V. , Vaskevich Vladimir L.
Название: Selected Works of S.L. Sobolev / Volume I: Equations of Mathematical Physics, Computational Mathematics, and Cubature Formulas
ISBN: 038734148X ISBN-13(EAN): 9780387341484
Издательство: Springer
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Цена: 17297 р.
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Описание: S.L. Sobolev (1908–1989) was a great mathematician of the twentieth century. His selected works included in this volume laid the foundations for intensive development of the modern theory of partial differential equations and equations of mathematical physics, and they were a gold mine for new directions of functional analysis and computational mathematics.The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access.

Extensions and Relaxations

Автор: Chentsov A.G., Morina S.I.
Название: Extensions and Relaxations
ISBN: 1402005792 ISBN-13(EAN): 9781402005794
Издательство: Springer
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Цена: 10284 р.
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Описание: In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints.Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.

Linear Optimization and Extensions / Problems and Solutions

Автор: Alevras Dimitris, Padberg Manfred W.
Название: Linear Optimization and Extensions / Problems and Solutions
ISBN: 3540417443 ISBN-13(EAN): 9783540417446
Издательство: Springer
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Цена: 5138 р.
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Описание: This book offers a comprehensive treatment of the exercises and case studies as well as summaries of the chapters of the book "Linear Optimization and Extensions" by Manfred Padberg. It covers the areas of linear programming and the optimization of linear functions over polyhedra in finite dimensional Euclidean vector spaces.Here are the main topics treated in the book: Simplex algorithms and their derivatives including the duality theory of linear programming. Polyhedral theory, pointwise and linear descriptions of polyhedra, double description algorithms, Gaussian elimination with and without division, the complexity of simplex steps. Projective algorithms, the geometry of projective algorithms, Newtonian barrier methods. Ellipsoids algorithms in perfect and in finite precision arithmetic, the equivalence of linear optimization and polyhedral separation. The foundations of mixed-integer programming and combinatorial optimization.

DLP and Extensions / An Optimization Model and Decision Support System

Автор: Nazareth John L.
Название: DLP and Extensions / An Optimization Model and Decision Support System
ISBN: 3540411143 ISBN-13(EAN): 9783540411147
Издательство: Springer
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Цена: 7479 р.
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Описание: DLP denotes a dynamic-linear modeling and optimization approach to computational decision support for resource planning problems that arise, typically, within the natural resource sciences and the disciplines of operations research and operational engineering. It integrates techniques of dynamic programming (DP) and linear programming (LP) and can be realized in an immediate, practical and usable way. Simultaneously DLP connotes a broad and very general modeling/ algorithmic concept that has numerous areas of application and possibilities for extension. Two motivating examples provide a linking thread through the main chapters, and an appendix provides a demonstration program, executable on a PC, for hands-on experience with the DLP approach.

Extensions of Positive Definite Functions

Автор: Jorgensen
Название: Extensions of Positive Definite Functions
ISBN: 3319397796 ISBN-13(EAN): 9783319397795
Издательство: Springer
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Цена: 4207 р.
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Описание:

This monograph deals with the mathematics of extending given partial data-sets obtained from experiments;
Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some prescribed group. It is therefore both an art and a science to produce solid conclusions from restricted or limited data.
While the theory of is important in many areas of pure and applied mathematics, it is difficult for students and for the novice to the field, to find accessible presentations which cover all relevant points of view, as well as stressing common ideas and interconnections. We have aimed at filling this gap, and we have stressed hands-on-examples.
Extensions of Moser–Bangert Theory

Автор: Rabinowitz
Название: Extensions of Moser–Bangert Theory
ISBN: 0817681167 ISBN-13(EAN): 9780817681166
Издательство: Springer
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Цена: 10284 р.
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Описание: This monograph presents extensions of the Moser–Bangert approach that include solutions of a family of nonlinear elliptic PDEs on Rn and an Allen–Cahn PDE model of phase transitions. After recalling the relevant Moser–Bangert results, Extensions of Moser–Bangert Theory pursues the rich structure of the set of solutions of a simpler model case, expanding upon the studies of Moser and Bangert to include solutions that merely have local minimality properties. Subsequent chapters build upon the introductory results, making the monograph self contained.The work is intended for mathematicians who specialize in partial differential equations and may also be used as a text for a graduate topics course in PDEs.

Concentration compactness: functional-analytic grounds and applications

Название: Concentration compactness: functional-analytic grounds and applications
ISBN: 1860946674 ISBN-13(EAN): 9781860946677
Издательство: World Scientific Publishing
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Цена: 5464 р.
Наличие на складе: Поставка под заказ.

Описание: Concentration compactness is an important method in mathematical analysis which has been used in mathematical research. This book aims to combine a concise formulation of the method, a range of applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces.


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