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Recursive interpolating sequences
Open Mathematics, 2018 This paper is devoted to pose several interpolation problems on the open unit disk 𝔻 of the complex plane in a recursive and linear way. We look for interpolating sequences (zn) in 𝔻 so that given a bounded sequence (an) and a suitable sequence (wn ...
Tugores Francesc
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Plane domains with harmonic interpolating sequences which are not interpolating sequences [PDF]
Kodai Mathematical Journal, 2005 Let \(D\) be a domain in the complex plane \(\mathbb C\). Let \(A\) denote either the space \(h^\infty(D)\) of all bounded harmonic functions in \(D\) or the space \(H^\infty(D)\) of all bounded holomorphic functions in \(D\). A sequence \((z_n)\) in \(D\) is called an \(A\)-interpolating sequence (say \((z_n)\in \mathcal I(A)\)), if for every bounded ...
Junichiro Narita
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Interpolating sequences for the Bergman space. [PDF]
Michigan Mathematical Journal, 1994 The main results of the paper. Theorem A. Suppose \(A = \{a_ n\}\) is a sequence of interpolation for \(L^ 2_ a (\mathbb{D})\) -- the Bergman Space. Then there exists a unique sequence \(\{t_ n\}\) in \(L^ 2_ a (\mathbb{D})\) such that the kernel function \(K_ A (z,w)\) admits the following partial fraction expansion \[ K_ A (z,w) = (1-z \overline w)^{-
Ke Zhu
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Random interpolating sequences in Dirichlet spaces [PDF]
International Mathematics Research Notices, 2019 Abstract We discuss random interpolating sequences in weighted Dirichlet spaces ${{\mathcal{D}}}_\alpha $, $0\leq \alpha \leq 1$, when the radii of the sequence points are fixed a priori and the arguments are uniformly distributed. Although conditions for deterministic interpolation in these spaces depend on capacities, which are very ...
Nikolaos Chalmoukis +3 more
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Sequences interpolating some geometric inequalities [PDF]
Creative Mathematics and Informatics, 2019 Using the geometric dynamic of an iterative process (Theorem 2.1), we obtain refinements to some famous geometric inequalities in a triangle by constructing interpolating sequences.
Dorin Andrica, Ştefan Marinescu
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Interpolating sequences on uniform algebras
Topology, 2009 AbstractWe consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on ...
Pablo Galindo +2 more
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Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 We consider the problems of multiple interpolation of analytic functions $f(z)=f_0+f_1z+\dots$ in the unit disk with node $z=0$ by means of simple partial fractions (logarithmic derivatives of algebraic polynomials) with free poles and with all poles on ...
Komarov, Mikhail Anatol'evich
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Interpolation sequences revisited [PDF]
2011 Design, Automation & Test in Europe, 2011 This work revisits the formulation of interpolation sequences, in order to better understand their relationships with Bounded Model Checking and with other Unbounded Model Checking approaches relying on standard interpolation. We first focus on different Bounded Model Checking schemes (bound, exact and exact-assume), pointing out their impact on the ...
CABODI, Gianpiero +2 more
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Polynomial Interpolation on Sequences
Mathematica Pannonica, 2022 This short note deals with polynomial interpolation of complex numbers verifying a Lipschitz condition, performed on consecutive points of a given sequence in the plane. We are interested in those sequences which provide a bound of the error at the first uninterpolated point, depending only on its distance to the last interpolated one.
Tugores, Francesc, Tugores, Laia
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HK Spaces with AD Property [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1995 If H is an HK space which has AD property, then we define the matrix A(H)= (amn) as am=< em,en>H. We prove that A(H) is uniquely determined by H , and hence conclude that there is a one - to - one map between the collection of all HK spaces which have AD,
Abdallah A. Hakawati
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