Journal of functional analysis, ISSN 0022-1236, 2019, Volume 276, Issue 8, pp. 2636 - 2661

.... We prove that under natural assumptions, Bézout equations in the quotient algebra N/IN can be solved if and only if the zeros of I form a finite union of Nevanlinna interpolating sequences...

Nevanlinna class | Corona problem | Interpolating sequences | Quotient algebras | MATHEMATICS | Algebra | Complex Variables | Mathematics | Classical Analysis and ODEs

Nevanlinna class | Corona problem | Interpolating sequences | Quotient algebras | MATHEMATICS | Algebra | Complex Variables | Mathematics | Classical Analysis and ODEs

Journal Article

Kyushu journal of mathematics, ISSN 1340-6116, 2016, Volume 70, Issue 2, pp. 259 - 266

We introduce several topics for sequences in the unit disc of the complex plane and the space of bounded analytic functions...

Carleson condition | Blaschke product | bounded analytic function | zero sequence | interpolating sequence | Bounded analytic function | Interpolating sequence | Zero sequence | MATHEMATICS

Carleson condition | Blaschke product | bounded analytic function | zero sequence | interpolating sequence | Bounded analytic function | Interpolating sequence | Zero sequence | MATHEMATICS

Journal Article

Quaestiones Mathematicae, ISSN 1607-3606, 09/2016, Volume 39, Issue 6, pp. 785 - 795

We prove that under the extended Carleson's condition, a sequence (x n ) ⊂ B H is linear interpolating for H ∞ (B H...

interpolating sequences | Infinite dimensional holomorphy | Hilbert spaces | spaces of analytic functions | Secondary 46G20 | Primary 46E50 | MATHEMATICS | ANALYTIC-FUNCTIONS

interpolating sequences | Infinite dimensional holomorphy | Hilbert spaces | spaces of analytic functions | Secondary 46G20 | Primary 46E50 | MATHEMATICS | ANALYTIC-FUNCTIONS

Journal Article

Studia Mathematica, ISSN 0039-3223, 2018, Volume 241, Issue 2, pp. 101 - 133

We study interpolating sequences and Carleson measures for the HardySobolev spaces H-s(p...

Interpolating sequence | Hardy-Sobolev space | Carleson measure | BOUNDED ANALYTIC-FUNCTIONS | MATHEMATICS | COMPLEX | interpolating sequence

Interpolating sequence | Hardy-Sobolev space | Carleson measure | BOUNDED ANALYTIC-FUNCTIONS | MATHEMATICS | COMPLEX | interpolating sequence

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 11/2018, Volume 12, Issue 8, pp. 1945 - 1958

We show that a discrete sequence $$\Lambda $$ Λ of the unit disk is the union of n interpolating sequences for the Nevanlinna class $$\mathcal {N...

Operator Theory | Divided differences | 30D55 | 42A85 | Analysis | Nevanlinna class | 30E05 | Mathematics, general | Mathematics | Interpolating sequences | INTERPOLATION | MATHEMATICS | MATHEMATICS, APPLIED | Complex Variables

Operator Theory | Divided differences | 30D55 | 42A85 | Analysis | Nevanlinna class | 30E05 | Mathematics, general | Mathematics | Interpolating sequences | INTERPOLATION | MATHEMATICS | MATHEMATICS, APPLIED | Complex Variables

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 7/2014, Volume 103, Issue 1, pp. 93 - 99

We provide a new proof of Volberg’s Theorem characterizing thin interpolating sequences as those for which the Gram matrix associated to the normalized reproducing kernels is a compact perturbation of the identity...

Thin interpolating sequence | Schatten- p class | 46E22 | 47B10 | Mathematics, general | Mathematics | Gram matrix | Schatten-p class | INTERPOLATION | MATHEMATICS | ANALYTIC FUNCTIONS | THEOREM | Naturvetenskap | Natural Sciences | Matematik

Thin interpolating sequence | Schatten- p class | 46E22 | 47B10 | Mathematics, general | Mathematics | Gram matrix | Schatten-p class | INTERPOLATION | MATHEMATICS | ANALYTIC FUNCTIONS | THEOREM | Naturvetenskap | Natural Sciences | Matematik

Journal Article

REVISTA MATEMATICA IBEROAMERICANA, ISSN 0213-2230, 2015, Volume 31, Issue 3, pp. 841 - 864

In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives...

INFINITY | MATHEMATICS | interpolation | thin sequences | asymptotic orthonormal sequence | ANALYTIC-FUNCTIONS | Hardy space | INTERPOLATING-SEQUENCES | DOUGLAS ALGEBRAS

INFINITY | MATHEMATICS | interpolation | thin sequences | asymptotic orthonormal sequence | ANALYTIC-FUNCTIONS | Hardy space | INTERPOLATING-SEQUENCES | DOUGLAS ALGEBRAS

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 1/2017, Volume 11, Issue 1, pp. 139 - 149

In this paper, a complete characterization of interpolating sequences for bounded functions in Dirichlet type spaces is obtained...

Operator Theory | 30H50 | 30H05 | Analysis | 46E20 | Mathematics, general | Dirichlet spaces | Mathematics | Interpolating sequences | Ideals | MATHEMATICS | MATHEMATICS, APPLIED | CARLESON MEASURES | MULTIPLIERS | ANALYTIC-FUNCTIONS | BERGMAN SPACES

Operator Theory | 30H50 | 30H05 | Analysis | 46E20 | Mathematics, general | Dirichlet spaces | Mathematics | Interpolating sequences | Ideals | MATHEMATICS | MATHEMATICS, APPLIED | CARLESON MEASURES | MULTIPLIERS | ANALYTIC-FUNCTIONS | BERGMAN SPACES

Journal Article

Revista matemática complutense, ISSN 1988-2807, 2018, Volume 32, Issue 1, pp. 115 - 139

We show that an interpolating sequence for the weighted Banach space of analytic functions on the unit ball of a Hilbert space is hyperbolically separated...

Bloch function in the ball | Weighted space of analytic functions | 46E50 | Infinite dimensional holomorphy | Mathematics | Topology | Primary 30D45 | Geometry | Algebra | Interpolating sequence | Secondary 46G20 | Analysis | Hyperbolically separated | Mathematics, general | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | COMPOSITION OPERATORS | BLOCH FUNCTIONS | DERIVATIVES

Bloch function in the ball | Weighted space of analytic functions | 46E50 | Infinite dimensional holomorphy | Mathematics | Topology | Primary 30D45 | Geometry | Algebra | Interpolating sequence | Secondary 46G20 | Analysis | Hyperbolically separated | Mathematics, general | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | COMPOSITION OPERATORS | BLOCH FUNCTIONS | DERIVATIVES

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 2/2016, Volume 22, Issue 1, pp. 137 - 158

We study thin interpolating sequences $$\{\lambda _n\}$$ { λ n } and their relationship to interpolation in the Hardy space $$H^2...

Primary: 46E22 | Thin sequences | Signal, Image and Speech Processing | Mathematics | Secondary: 30D55 | Abstract Harmonic Analysis | Reproducing kernel | Interpolation | Mathematical Methods in Physics | Asymptotic orthonormal sequence | 46B15 | Fourier Analysis | Approximations and Expansions | Partial Differential Equations | 47A | MATHEMATICS, APPLIED | H-INFINITY | INTERPOLATING-SEQUENCES | Analysis | Algebra

Primary: 46E22 | Thin sequences | Signal, Image and Speech Processing | Mathematics | Secondary: 30D55 | Abstract Harmonic Analysis | Reproducing kernel | Interpolation | Mathematical Methods in Physics | Asymptotic orthonormal sequence | 46B15 | Fourier Analysis | Approximations and Expansions | Partial Differential Equations | 47A | MATHEMATICS, APPLIED | H-INFINITY | INTERPOLATING-SEQUENCES | Analysis | Algebra

Journal Article

Houston Journal of Mathematics, ISSN 0362-1588, 2015, Volume 41, Issue 1, pp. 213 - 230

... for a sequence of points to be an interpolating sequence on a finite open Riemann surface. We next turn our attention to the question of interpolation for reproducing kernel...

Interpolating sequences | Riemann surfaces | Schur-Agler class | MATHEMATICS | ANALYTIC FUNCTIONS | Riemann Surfaces | Schur-Agler Class | THEOREM | Interpolating Sequences

Interpolating sequences | Riemann surfaces | Schur-Agler class | MATHEMATICS | ANALYTIC FUNCTIONS | Riemann Surfaces | Schur-Agler Class | THEOREM | Interpolating Sequences

Journal Article

Central European Journal of Mathematics, ISSN 1895-1074, 10/2013, Volume 11, Issue 10, pp. 1843 - 1849

In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations...

30H50 | Topological Groups, Lie Groups | Thin sequences | Probability Theory and Stochastic Processes | Mathematics | Bounded analytic functions | Geometry | Algebra | 30H05 | Mathematics, general | 46J15 | Corona | Number Theory | Interpolating sequences

30H50 | Topological Groups, Lie Groups | Thin sequences | Probability Theory and Stochastic Processes | Mathematics | Bounded analytic functions | Geometry | Algebra | 30H05 | Mathematics, general | 46J15 | Corona | Number Theory | Interpolating sequences

Journal Article

Czechoslovak Mathematical Journal, ISSN 0011-4642, 6/2010, Volume 60, Issue 2, pp. 513 - 516

.... We characterize the sequences in a Stolz angle of ⅅ, verifying that the bounded sequences are interpolated on them by a certain class of not bounded holomorphic functions on ⅅ...

Carleson’s theorem | 30D50 | uniformly separated | 30E05 | Mathematics | interpolating sequence | Ordinary Differential Equations | Convex and Discrete Geometry | Analysis | Lipschitz class | Blaschke product | Mathematics, general | Mathematical Modeling and Industrial Mathematics | Interpolating sequence | Carleson's theorem | Uniformly separated | MATHEMATICS

Carleson’s theorem | 30D50 | uniformly separated | 30E05 | Mathematics | interpolating sequence | Ordinary Differential Equations | Convex and Discrete Geometry | Analysis | Lipschitz class | Blaschke product | Mathematics, general | Mathematical Modeling and Industrial Mathematics | Interpolating sequence | Carleson's theorem | Uniformly separated | MATHEMATICS

Journal Article

Indiana University mathematics journal, ISSN 0022-2518, 1/2009, Volume 58, Issue 3, pp. 1281 - 1318

We characterize the interpolating sequences for the weighted analytic Besov spaces Bp...

Interpolation | Boundary value problems | Mathematical sequences | Mathematical theorems | Algebra | Analytic functions | Mathematical integrals | Mathematical functions | College mathematics | Corona problems | Carleson measures | Interpolating sequences | Besov spaces | interpolating sequences | BOUNDED-FUNCTIONS | MATHEMATICS | DIRICHLET-TYPE SPACES | MULTIPLIERS | OPERATORS | corona problems | BERGMAN SPACES

Interpolation | Boundary value problems | Mathematical sequences | Mathematical theorems | Algebra | Analytic functions | Mathematical integrals | Mathematical functions | College mathematics | Corona problems | Carleson measures | Interpolating sequences | Besov spaces | interpolating sequences | BOUNDED-FUNCTIONS | MATHEMATICS | DIRICHLET-TYPE SPACES | MULTIPLIERS | OPERATORS | corona problems | BERGMAN SPACES

Journal Article

Publicacions matemàtiques, ISSN 0214-1493, 1/2014, Volume 58, Issue 2, pp. 401 - 414

The interpolating sequences S for H∞(𝔻), the bounded holomorphic functions in the unit disc 𝔻...

Carleson measures | Interpolating sequences | INTERPOLATION | MATHEMATICS | ANALYTIC FUNCTIONS | 30H80 | 30H10

Carleson measures | Interpolating sequences | INTERPOLATION | MATHEMATICS | ANALYTIC FUNCTIONS | 30H80 | 30H10

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 1/2011, Volume 69, Issue 1, pp. 73 - 85

In this article we show that interpolating sequences on certain harmonically weighted Dirichlet spaces can be characterized in terms of a separation condition and a Carleson-measure condition...

Primary 30E05 | Mathematics | Secondary 40E20 | Interpolating sequences | Analysis | weighted Dirichlet spaces | Weighted dirichlet spaces | MATHEMATICS

Primary 30E05 | Mathematics | Secondary 40E20 | Interpolating sequences | Analysis | weighted Dirichlet spaces | Weighted dirichlet spaces | MATHEMATICS

Journal Article

Indagationes mathematicae, ISSN 0019-3577, 10/2018, Volume 29, Issue 5, pp. 1326 - 1333

This paper deals with interpolating sequences (zn)n for two spaces of holomorphic functions f in the unit disk D in C...

Uniformly separated sequence | Bounded holomorphic function | Interpolating sequence | Lipschitz class | MATHEMATICS | ANALYTIC-FUNCTIONS

Uniformly separated sequence | Bounded holomorphic function | Interpolating sequence | Lipschitz class | MATHEMATICS | ANALYTIC-FUNCTIONS

Journal Article

Open Mathematics, ISSN 2391-5455, 04/2018, Volume 16, Issue 1, pp. 461 - 468

... of the complex plane in a recursive and linear way. We look for interpolating sequences ( ) in 𝔻...

30E05 | Uniformly separated sequence | 30J10 | Bounded analytic function | Interpolating sequence | 30H05 | MATHEMATICS | uniformly separated sequence | 30j10 | 30e05 | bounded analytic function | 30h05 | interpolating sequence

30E05 | Uniformly separated sequence | 30J10 | Bounded analytic function | Interpolating sequence | 30H05 | MATHEMATICS | uniformly separated sequence | 30j10 | 30e05 | bounded analytic function | 30h05 | interpolating sequence

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 05/2009, Volume 92, Issue 5, pp. 504 - 518

Using a kind of summability procedure we give, within this survey, a new proof of a result by Sundberg and Wolff on large perturbations of thin interpolating sequences and present a detailed proof...

Mathematics, general | Primary 30D50 | Secondary 46J15 | Thin interpolating sequences | Mathematics | asymptotic interpolation | Asymptotic interpolation | MATHEMATICS | BOUNDED ANALYTIC FUNCTIONS | ALGEBRAS | BLASCHKE PRODUCTS

Mathematics, general | Primary 30D50 | Secondary 46J15 | Thin interpolating sequences | Mathematics | asymptotic interpolation | Asymptotic interpolation | MATHEMATICS | BOUNDED ANALYTIC FUNCTIONS | ALGEBRAS | BLASCHKE PRODUCTS

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1017-060X, 4/2019, Volume 45, Issue 2, pp. 607 - 615

< ∞ , we characterize the corresponding interpolating sequences as the separated ones that also verify a condition for all functions in $$H^q$$ H q...

Carleson measure | Interpolating sequence | 30H05 | Mathematics, general | Uniformly separated sequence | Primary 30E05 | Mathematics | Hardy space | Secondary 30H10 | MATHEMATICS

Carleson measure | Interpolating sequence | 30H05 | Mathematics, general | Uniformly separated sequence | Primary 30E05 | Mathematics | Hardy space | Secondary 30H10 | MATHEMATICS

Journal Article

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