Rational Approximation and Interpolation, P.R. Graves-Morris; E.B. Saff; R.S. Varga

Автор: Eloe Paul W Et Al
Название: Nonlinear Interpolation And Boundary Value Problems
ISBN: 9814733474 ISBN-13(EAN): 9789814733472
Издательство: World Scientific Publishing
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Описание: This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

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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Автор: Sergey Kislyakov; Natan Kruglyak
Название: Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
ISBN: 303480752X ISBN-13(EAN): 9783034807524
Издательство: Springer
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Описание: This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory.

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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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.

Автор: Rudolph A. Lorentz
Название: Multivariate Birkhoff Interpolation
ISBN: 3540558705 ISBN-13(EAN): 9783540558705
Издательство: Springer
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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.

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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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, . . .