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Functions with Disconnected Spectrum: Sampling, Interpolation, Translates, Alexander M. Olevskii, Alexander Ulanovskii


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Автор: Alexander M. Olevskii, Alexander Ulanovskii
Название:  Functions with Disconnected Spectrum: Sampling, Interpolation, Translates
ISBN: 9781470428891
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 147042889X
Обложка/Формат: Paperback
Страницы: 143
Вес: 0.28 кг.
Дата издания: 30.06.2016
Серия: University lecture series
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Applied mathematics
Подзаголовок: Sampling, interpolation, translates
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Поставляется из: Англии
Описание: The classical sampling problem is to reconstruct entire functions with given spectrum $S$ from their values on a discrete set $L$. From the geometric point of view, the possibility of such reconstruction is equivalent to determining for which sets $L$ the exponential system with frequencies in $L$ forms a frame in the space $L^2(S)$. The book also treats the problem of interpolation of discrete functions by analytic ones with spectrum in $S$ and the problem of completeness of discrete translates. The size and arithmetic structure of both the spectrum $S$ and the discrete set $L$ play a crucial role in these problems.After an elementary introduction, the authors give a new presentation of classical results due to Beurling, Kahane, and Landau. The main part of the book focuses on recent progress in the area, such as construction of universal sampling sets, high-dimensional and non-analytic phenomena.The reader will see how methods of harmonic and complex analysis interplay with various important concepts in different areas, such as Minkowskis lattice, Kolmogorovs width, and Meyers quasicrystals.The book is addressed to graduate students and researchers interested in analysis and its applications. Due to its many exercises, mostly given with hints, the book could be useful for undergraduates.
Дополнительное описание: Calculus and mathematical analysis|Applied mathematics


Interpolation Theory

Автор: Lunardi, Alessandra
Название: Interpolation Theory
ISBN: 8876426396 ISBN-13(EAN): 9788876426391
Издательство: Springer
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Цена: 23290.00 T
Наличие на складе: Поставка под заказ.
Описание: This book illustrates the principles of interpolation theory. It reduces the abstract theory as far as possible and gives many examples and applications, especially to operator theory and to regularity in partial differential equations.

Interpolation, Schur Functions and Moment Problems II

Автор: Daniel Alpay; Bernd Kirstein
Название: Interpolation, Schur Functions and Moment Problems II
ISBN: 3034807422 ISBN-13(EAN): 9783034807425
Издательство: Springer
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Цена: 93160.00 T
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Описание: The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.

Extension and Interpolation of Linear Operators and Matrix Functions

Автор: I. Gohberg
Название: Extension and Interpolation of Linear Operators and Matrix Functions
ISBN: 3764325305 ISBN-13(EAN): 9783764325305
Издательство: Springer
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Цена: 74530.00 T
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Описание: The classicallossless inverse scattering (LIS) problem of network theory is to find all possible representations of a given Schur function s(z) (i. e., a function which is analytic and contractive in the open unit disc D) in terms of an appropriately restricted class of linear fractional transformations. These linear fractional transformations corre- spond to lossless, causal, time-invariant two port networks and from this point of view, s(z) may be interpreted as the input transfer function of such a network with a suitable load. More precisely, the sought for representation is of the form s(Z) = -{ -A(Z)SL(Z) + B(z)}{ -C(Z)SL(Z) + D(z)} -1, (1. 1) where "the load" SL(Z) is again a Schur function and _ A(Z) B(Z)] 0( ) (1. 2) Z - C(z) D(z) is a 2 x 2 J inner function with respect to the signature matrix This means that 0 is meromorphic in D and 0(z)* J0(z)::5 J (1. 3) for every point zED at which 0 is analytic with equality at almost every point on the boundary Izi = 1. A more general formulation starts with an admissible matrix valued function X(z) = a(z) b(z)] which is one with entries a(z) and b(z) which are analytic and bounded in D and in addition are subject to the constraint that, for every n, the n x n matrix with ij entry equal to X(Zi)J X(Zj )* i, j=l, . . .

Iterative-Interpolation Super-Resolution Image Reconstruction

Автор: Vivek Bannore
Название: Iterative-Interpolation Super-Resolution Image Reconstruction
ISBN: 3642101453 ISBN-13(EAN): 9783642101458
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book presents a novel, hybrid, computationally-efficient reconstruction scheme for solving the problem of super-resolution restoration of high-resolution images from sequences of geometrically warped, aliased and under-sampled low-resolution images.

Interpolation Spaces and Allied Topics in Analysis

Автор: M. Cwikel; J. Peetre
Название: Interpolation Spaces and Allied Topics in Analysis
ISBN: 3540133631 ISBN-13(EAN): 9783540133636
Издательство: Springer
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Цена: 32560.00 T
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Interpolation Spaces

Автор: J. Bergh; J. L?fstr?m
Название: Interpolation Spaces
ISBN: 3642664539 ISBN-13(EAN): 9783642664533
Издательство: Springer
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Цена: 77320.00 T
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Описание: The works of Jaak Peetre constitute the main body of this treatise. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom`s disposal an unfinished manu- script, covering parts of Chapter 1-3 and 5 of this book.

H?rmander Spaces, Interpolation, and Elliptic Problems

Автор: Vladimir A. Mikhailets, Aleksandr A. Murach
Название: H?rmander Spaces, Interpolation, and Elliptic Problems
ISBN: 3110296853 ISBN-13(EAN): 9783110296853
Издательство: Walter de Gruyter
Цена: 136310.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning includeFlavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019)Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019)Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020)Mariusz Lemanczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020)Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021)Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021)Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021)Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

Topics in Interpolation Theory

Автор: Bernd Fritzsche; Victor Katsnelson; Bernd Kirstein
Название: Topics in Interpolation Theory
ISBN: 303489838X ISBN-13(EAN): 9783034898386
Издательство: Springer
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Цена: 46570.00 T
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Описание: About one half of the papers in this volume are based on lectures which were pre- sented at a conference at Leipzig University in August 1994, which was dedicated to Vladimir Petrovich Potapov. OT72 which appears frequently in this volume, refers to Volume 72 in the series Operator Theory: Advances and Applications.

Interpolation Theory, Systems Theory and Related Topics

Автор: Daniel Alpay; Israel Gohberg; Victor Vinnikov
Название: Interpolation Theory, Systems Theory and Related Topics
ISBN: 3034894775 ISBN-13(EAN): 9783034894777
Издательство: Springer
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Цена: 93160.00 T
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Multivariate Birkhoff Interpolation

Автор: Rudolph A. Lorentz
Название: Multivariate Birkhoff Interpolation
ISBN: 3540558705 ISBN-13(EAN): 9783540558705
Издательство: Springer
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Цена: 27910.00 T
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Описание: The subject of this monograph is Lagrange, Hermite and Birkhoff interpolation by multivariate algebraic polynomials. It unifies and extends a new algorithmic approach to the subject which was introduced and developed by the author.


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