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Operators, Functions, and Systems: An Easy Reading, Nikolai Nikolski


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Автор: Nikolai Nikolski
Название:  Operators, Functions, and Systems: An Easy Reading
ISBN: 9780821852651
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 0821852655
Обложка/Формат: Paperback
Страницы: 439
Вес: 0.00 кг.
Дата издания: 30.03.2012
Серия: Mathematical surveys and monographs
Язык: English
Размер: 229 x 152
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Calculus & mathematical analysis
Подзаголовок: An easy reading
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Поставляется из: Англии
Описание: This unique work combines four major topics of modern analysis and its applications: Hardy classes of holomorphic functions; Spectral theory of Hankel and Toeplitz operators; Function models for linear operators and free interpolations; and infinite-dimensional system theory and signal processing.

Pseudo-Differential Operators, Generalized Functions and Asy

Автор: Molahajloo Shahla
Название: Pseudo-Differential Operators, Generalized Functions and Asy
ISBN: 3034805845 ISBN-13(EAN): 9783034805841
Издательство: Springer
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Цена: 111790.00 T
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Описание: Consists of twenty peer-reviewed papers from the special session on pseudo differential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples` Friendship University of Russia in Moscow on August 22a`27, 2011.

Selberg Zeta Functions and Transfer Operators

Автор: Markus Szymon Fraczek
Название: Selberg Zeta Functions and Transfer Operators
ISBN: 3319512943 ISBN-13(EAN): 9783319512945
Издательство: Springer
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Цена: 60550.00 T
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Описание:

Introduction.-Preliminaries.-The Gamma function and the incomplete Gamma functions.-The Hurwitz Zeta Function and the Lerch Zeta Function.-Computation of the spectra and eigenvectors of large complex matrices.-The hyperbolic Laplace-Beltrami operator.-Transfer operators for the geodesic flow on hyperbolic surfaces.-Numerical results for spectra and traces of the transfer operator for character deformations.-Investigations of Selberg zeta functions under character deformations.-Concluding remarks.-Appendices.-References.-Index of Notations.


Pseudo-Differential Operators, Generalized Functions and Asymptotics

Автор: Shahla Molahajloo; Stevan Pilipovi?; Joachim Toft;
Название: Pseudo-Differential Operators, Generalized Functions and Asymptotics
ISBN: 3034808038 ISBN-13(EAN): 9783034808033
Издательство: Springer
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Цена: 111790.00 T
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Описание: This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples' Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.

Pseudo-Differential Operators and Generalized Functions

Автор: Stevan Pilipovi?; Joachim Toft
Название: Pseudo-Differential Operators and Generalized Functions
ISBN: 3319146173 ISBN-13(EAN): 9783319146171
Издательство: Springer
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Цена: 93160.00 T
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Описание: Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis.

Pseudo-Differential Operators and Generalized Functions

Автор: Stevan Pilipovi?; Joachim Toft
Название: Pseudo-Differential Operators and Generalized Functions
ISBN: 3319381113 ISBN-13(EAN): 9783319381114
Издательство: Springer
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Цена: 93160.00 T
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Описание: Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis.

Differentiability of Six Operators on Nonsmooth Functions and p-Variation

Автор: R. M. Dudley; J. Qian; R. Norvai?a
Название: Differentiability of Six Operators on Nonsmooth Functions and p-Variation
ISBN: 3540659757 ISBN-13(EAN): 9783540659754
Издательство: Springer
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Цена: 37220.00 T
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Описание: Concerns the differentiability of six operators on functions or pairs of functions, composition (f of g), integration (of f dg), multiplication and convolution of two functions, and the product integral and inverse operators for one function. Knowledge of basic real analysis is essential.

Trajectory Spaces, Generalized Functions and Unbounded Operators

Автор: Stephanus van Eijndhoven; Johannes de Graaf
Название: Trajectory Spaces, Generalized Functions and Unbounded Operators
ISBN: 3540160655 ISBN-13(EAN): 9783540160656
Издательство: Springer
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Цена: 32560.00 T
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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, . . .

Characteristic Functions and Models of Nonself-Adjoint Operators

Автор: A. Kuzhel
Название: Characteristic Functions and Models of Nonself-Adjoint Operators
ISBN: 9401065667 ISBN-13(EAN): 9789401065665
Издательство: Springer
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Цена: 88500.00 T
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Описание: Over the last decades, the study of nonself-adjoint or nonunitary operators has been mainly based on the method of characteristic functions and on methods of model construction or dilatation for corresponding operator classes.

Integral operators in spaces of summable functions

Автор: M.A. Krasnosel`skii; P.P. Zabreyko; E.I. Pustylnik
Название: Integral operators in spaces of summable functions
ISBN: 9401015449 ISBN-13(EAN): 9789401015448
Издательство: Springer
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Цена: 81050.00 T
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Описание: The investigation of many mathematical problems is significantly simplified if it is possible to reduce them to equations involving continuous or com- pletely continuous operators in function spaces.

Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems

Автор: V. Lakshmikantham; V.M. Matrosov; S. Sivasundaram
Название: Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems
ISBN: 0792311523 ISBN-13(EAN): 9780792311522
Издательство: Springer
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Цена: 71730.00 T
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Описание: One service mathematics has rendered the 'Et moi, "', si j'avait su comment en revenir, je n'y serais point all."' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter 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.

Piecewise Constant Orthogonal Functions and Their Application to Systems and Control

Автор: Ganti P. Rao
Название: Piecewise Constant Orthogonal Functions and Their Application to Systems and Control
ISBN: 3540125566 ISBN-13(EAN): 9783540125563
Издательство: Springer
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Цена: 81050.00 T
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