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Integral Geometry and Convolution Equations, V.V. Volchkov


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Автор: V.V. Volchkov
Название:  Integral Geometry and Convolution Equations
ISBN: 9789401039994
Издательство: Springer
Классификация: ISBN-10: 9401039992
Обложка/Формат: Paperback
Страницы: 454
Вес: 0.65 кг.
Дата издания: 26.10.2012
Язык: English
Размер: 234 x 156 x 24
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective. On the other hand, when we work with complex measures or forms, operators appear whose kernels are non-trivial but which describe important classes of functions. Most of the questions arising here relate, in one way or another, to the convolution equations. Some of the well known publications in this ?eld include the works by J. Radon, F. John, J. Delsarte, L. Zalcman, C. A. Berenstein, M. L. Agranovsky and recent monographs by L. H] ormander and S. Helgason. Until recently research in this area was carried out mostly using the technique of the Fourier transform and corresponding methods of complex analysis. In recent years the present author has worked out an essentially di?erent methodology based on the description of various function spaces in terms of - pansions in special functions, which has enabled him to establish best possible results in several well known problems.


Theory and Applications of Convolution Integral Equations

Автор: Hari M. Srivastava; R.G. Buschman
Название: Theory and Applications of Convolution Integral Equations
ISBN: 9048141850 ISBN-13(EAN): 9789048141852
Издательство: Springer
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Цена: 27245.00 р.
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Описание: One service mathematics has rendered the 'Et moi ....- si favait su comment en revenir, je human race. It has put common sense back n'y serais point a1l6.' lules Verne where it belongs, on the topmost shelf next to the dusty eanister labelled 'discarded nonsense' . Erie T. Bell The series is divergent; therefore we may be able to do something with it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics .. .'; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series. This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote "Growing specia1ization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and It also happens, quite often in related fields does not grow only by putting forth new branches.

Theory and Applications of Convolution Integral Equations

Автор: Hari M. Srivastava; R.G. Buschman
Название: Theory and Applications of Convolution Integral Equations
ISBN: 0792318919 ISBN-13(EAN): 9780792318910
Издательство: Springer
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Цена: 13275.00 р.
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Описание: A state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. A discussion of some open questions and of various important directions for further research is also presented.

Spectral Theory of Approximation Methods for Convolution Equations

Автор: Roland Hagen; Steffen Roch; Bernd Silbermann
Название: Spectral Theory of Approximation Methods for Convolution Equations
ISBN: 3034898916 ISBN-13(EAN): 9783034898911
Издательство: Springer
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Цена: 14673.00 р.
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Описание: The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves.

Analytically Uniform Spaces and Their Applications to Convolution Equations

Автор: C. A. Berenstein; M. A. Dostal
Название: Analytically Uniform Spaces and Their Applications to Convolution Equations
ISBN: 3540057463 ISBN-13(EAN): 9783540057468
Издательство: Springer
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Цена: 3492.00 р.
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The Convolution Product

Автор: W. Kecs
Название: The Convolution Product
ISBN: 9027714096 ISBN-13(EAN): 9789027714091
Издательство: Springer
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Цена: 15372.00 р.
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Convolution Transform

Автор: Widder David Vernon, Hirschman Isidore Isaac, Hirschman I. I.
Название: Convolution Transform
ISBN: 0691626928 ISBN-13(EAN): 9780691626925
Издательство: Wiley
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Цена: 7128.00 р.
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Описание: The convolution transform includes as special cases such familiar transforms as the Laplace, Fourier-sine, Fourier-cosine, Hankel, Meier, and Weierstrass (or Gauss). As a consequence any general theory about it may serve as a unifying influence for the evergrowing literature concerning integral transforms. Originally published in 1955. The Prince

Matrix Convolution Operators on Groups

Автор: Cho-Ho Chu
Название: Matrix Convolution Operators on Groups
ISBN: 3540697977 ISBN-13(EAN): 9783540697978
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents developments in the spectral theory of these operators. It focuses on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures.

Orthogonal Systems and Convolution Operators

Автор: Robert L. Ellis; Israel Gohberg
Название: Orthogonal Systems and Convolution Operators
ISBN: 303489418X ISBN-13(EAN): 9783034894180
Издательство: Springer
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Цена: 6986.00 р.
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Описание: In this book we study orthogonal polynomials and their generalizations in spaces with weighted inner products. These ortho- gonal polynomials are called the Szego polynomials associated with the weight w.

Approximation of Additive Convolution-Like Operators

Автор: Victor Didenko; Bernd Silbermann
Название: Approximation of Additive Convolution-Like Operators
ISBN: 3764387505 ISBN-13(EAN): 9783764387501
Издательство: Springer
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Цена: 6981.00 р.
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Описание: This book deals with numerical analysis for certain classes of additive operators and related equations. It is the first book to present systematic study of approximation methods for the Muskhelishvili equation.

Multiplicative Complexity, Convolution, and the DFT

Автор: Michael T. Heideman; C.S. Burrus
Название: Multiplicative Complexity, Convolution, and the DFT
ISBN: 146128399X ISBN-13(EAN): 9781461283997
Издательство: Springer
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Цена: 13060.00 р.
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Описание: This book is intended to be a comprehensive reference to multiplicative com- plexity theory as applied to digital signal processing computations. Although a few algorithms are included to illustrate the theory, I concentrated more on the develop- ment of the theory itself.

Convolution Copula Econometrics

Автор: Umberto Cherubini; Fabio Gobbi; Sabrina Mulinacci
Название: Convolution Copula Econometrics
ISBN: 3319480146 ISBN-13(EAN): 9783319480145
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book presents a novel approach to time series econometrics, which studies the behavior of nonlinear stochastic processes. This approach allows for an arbitrary dependence structure in the increments and provides a generalization with respect to the standard linear independent increments assumption of classical time series models. The book offers a solution to the problem of a general semiparametric approach, which is given by a concept called C-convolution (convolution of dependent variables), and the corresponding theory of convolution-based copulas. Intended for econometrics and statistics scholars with a special interest in time series analysis and copula functions (or other nonparametric approaches), the book is also useful for doctoral students with a basic knowledge of copula functions wanting to learn about the latest research developments in the field.

Algorithms for Discrete Fourier Transform and Convolution

Автор: Richard Tolimieri; Myoung An; Chao Lu
Название: Algorithms for Discrete Fourier Transform and Convolution
ISBN: 0387982612 ISBN-13(EAN): 9780387982618
Издательство: Springer
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Цена: 23508.00 р.
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Описание: This graduate-level text provides a language for understanding, unifying, and implementing a wide variety of algorithms for digital signal processing - in particular, to provide rules and procedures that can simplify or even automate the task of writing code for the newest parallel and vector machines.


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