Complex Analysis and Operator Theory, ISSN 1661-8254, 2/2019, Volume 13, Issue 1, pp. 127 - 139

... Emmanuel Fricain 1 · Pascal Lefèvre 2 Received: 9 July 2017 / Accepted: 5 October 2017 / Published online: 19 October 2017 © Springer International Publishing AG 2017...

30B10 | Operator Theory | Primary 46E22 | Müntz spaces | Analysis | Model spaces | Mathematics, general | Mathematics | Mellin transform | 30H10

30B10 | Operator Theory | Primary 46E22 | Müntz spaces | Analysis | Model spaces | Mathematics, general | Mathematics | Mellin transform | 30H10

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 2, pp. 944 - 960

Recently, M. Mitkovski [13] gave a criterion for basicity of a sequence of complex exponentials in terms of the invertibility properties of a certain naturally...

Toeplitz operators | Basis | Model spaces | MATHEMATICS | MATHEMATICS, APPLIED

Toeplitz operators | Basis | Model spaces | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

COMPLEX ANALYSIS AND OPERATOR THEORY, ISSN 1661-8254, 02/2019, Volume 13, Issue 1, pp. 127 - 139

We emphasize a bridge between two areas of function theory: hilbertian Muntz spaces and model spaces of the Hardy space of the right half plane. We give...

Muntz spaces | MATHEMATICS | MATHEMATICS, APPLIED | Model spaces | Mellin transform

Muntz spaces | MATHEMATICS | MATHEMATICS, APPLIED | Model spaces | Mellin transform

Journal Article

Acta scientiarum mathematicarum (Szeged), ISSN 0001-6969, 2019, Volume 85, Issue 12, pp. 215 - 230

Journal Article

Canadian journal of mathematics, ISSN 0008-414X, 12/2017, Volume 69, Issue 6, pp. 1312 - 1337

An asymptotically orthonormal sequence is a sequence that is nearly orthonormal in the sense that it satisfies the Parseval equality up to two constants close...

Reproducing kernel | Function space | Asymptoti-cally orthonormal sequence | De Branges-Rovnyak and model space | MATHEMATICS | asymptotically orthonormal sequence | INEQUALITIES | de Branges-Rovnyak and model space | SUBSPACES | reproducing kernel | function space | BRANGES-ROVNYAK SPACES | Mathematics - Complex Variables

Reproducing kernel | Function space | Asymptoti-cally orthonormal sequence | De Branges-Rovnyak and model space | MATHEMATICS | asymptotically orthonormal sequence | INEQUALITIES | de Branges-Rovnyak and model space | SUBSPACES | reproducing kernel | function space | BRANGES-ROVNYAK SPACES | Mathematics - Complex Variables

Journal Article

Studia Mathematica, ISSN 0039-3223, 2018, Volume 240, Issue 2, pp. 177 - 191

We examine the multipliers from one model space to another.

De Branges-Rovnyak spaces | Multipliers | Clark measures | Inner functions | Hardy spaces | Model spaces | Level sets | MATHEMATICS | inner functions | level sets | CARLESON MEASURES | STAR-INVARIANT SUBSPACES | multipliers | model spaces | de Branges-Rovnyak spaces

De Branges-Rovnyak spaces | Multipliers | Clark measures | Inner functions | Hardy spaces | Model spaces | Level sets | MATHEMATICS | inner functions | level sets | CARLESON MEASURES | STAR-INVARIANT SUBSPACES | multipliers | model spaces | de Branges-Rovnyak spaces

Journal Article

New York Journal of Mathematics, ISSN 1076-9803, 01/2018, Volume 24, pp. 147 - 156

In this note, we study the multipliers from one model space to another. In the case when the corresponding inner functions are meromorphic, we give both...

Multipliers | Model spaces | Beurling-malliavin densities | MATHEMATICS | model spaces | Beurling-Malliavin densities

Multipliers | Model spaces | Beurling-malliavin densities | MATHEMATICS | model spaces | Beurling-Malliavin densities

Journal Article

Canadian journal of mathematics, ISSN 0008-414X, 12/2018, Volume 70, Issue 6, pp. 1261 - 1283

In this paper we discuss the range of a co-analytic Toeplitz operator. These range spaces are closely related to de Branges–Rovnyak spaces (in some cases they...

MATHEMATICS | corona pair | INVARIANT SUBSPACES | range space | de Branges-Rovnyak space | non-extreme point | REPRESENTATION | Toeplitz operator | boundary behavior | kernel function | BRANGES-ROVNYAK SPACES | Hardy space | Mathematics - Complex Variables | Complex Variables | Mathematics

MATHEMATICS | corona pair | INVARIANT SUBSPACES | range space | de Branges-Rovnyak space | non-extreme point | REPRESENTATION | Toeplitz operator | boundary behavior | kernel function | BRANGES-ROVNYAK SPACES | Hardy space | Mathematics - Complex Variables | Complex Variables | Mathematics

Journal Article

Constructive Approximation, ISSN 0176-4276, 10/2016, Volume 44, Issue 2, pp. 269 - 281

...Constr Approx (2016) 44:269–281 DOI 10.1007/s00365-015-9312-4 Constructive Approximation in de Branges–Rovnyak Spaces Omar El-Fallah 1 · Emmanuel Fricain 2...

46E22 | Numerical Analysis | Analysis | De Branges–Rovnyak space | 47B32 | Mathematics | Toeplitz operator | Hardy space | MATHEMATICS | De Branges-Rovnyak space | Complex Variables | Functional Analysis | Classical Analysis and ODEs

46E22 | Numerical Analysis | Analysis | De Branges–Rovnyak space | 47B32 | Mathematics | Toeplitz operator | Hardy space | MATHEMATICS | De Branges-Rovnyak space | Complex Variables | Functional Analysis | Classical Analysis and ODEs

Journal Article

Computational Methods and Function Theory, ISSN 1617-9447, 6/2016, Volume 16, Issue 2, pp. 287 - 306

...Comput. Methods Funct. Theory (2016) 16:287–306 DOI 10.1007/s40315-015-0144-9 Concrete Examples of H ( b ) Spaces Emmanuel Fricain 1 · Andreas Hartmann 2...

Computational Mathematics and Numerical Analysis | Kernel functions | Functions of a Complex Variable | de Branges–Rovnyak spaces | Non-extreme points | 46E22 | Analysis | 30J05 | Mathematics | Corona pairs | 30H10

Computational Mathematics and Numerical Analysis | Kernel functions | Functions of a Complex Variable | de Branges–Rovnyak spaces | Non-extreme points | 46E22 | Analysis | 30J05 | Mathematics | Corona pairs | 30H10

Journal Article

Indiana University mathematics journal, ISSN 0022-2518, 1/2015, Volume 64, Issue 4, pp. 1027 - 1057

In this paper, we discuss direct and reverse Carleson measures for the de Branges-Rovnyak spaces ℋ(b).

De Branges-Rovnyak spaces | Carleson measures | Corona pairs | Reproducing kernel thesis | Extreme point | INEQUALITIES | extreme point | HARDY-SPACES | BRANGES-ROVNYAK SPACES | MATHEMATICS | reproducing kernel thesis | corona pairs | MODEL SPACES | EMBEDDINGS | SUBSPACES | OPERATORS

De Branges-Rovnyak spaces | Carleson measures | Corona pairs | Reproducing kernel thesis | Extreme point | INEQUALITIES | extreme point | HARDY-SPACES | BRANGES-ROVNYAK SPACES | MATHEMATICS | reproducing kernel thesis | corona pairs | MODEL SPACES | EMBEDDINGS | SUBSPACES | OPERATORS

Journal Article

Complex Variables and Elliptic Equations, ISSN 1747-6933, 03/2014, Volume 59, Issue 3, pp. 362 - 368

Given a finite Blaschke product B, we study the limit of S k ○ B ○ T k , where S k and T k are some automorphisms of the open unit disc. The automorphisms are...

Primary: 30D50 | Secondary: 32A70 | automorphism | Blaschke products | zero sets | convergence | MATHEMATICS | Memorials & monuments | Stone | Pictures | Discs | Theorems | Mathematical analysis | Disks | Complex variables | Automorphisms

Primary: 30D50 | Secondary: 32A70 | automorphism | Blaschke products | zero sets | convergence | MATHEMATICS | Memorials & monuments | Stone | Pictures | Discs | Theorems | Mathematical analysis | Disks | Complex variables | Automorphisms

Journal Article

Journal of functional analysis, ISSN 0022-1236, 2010, Volume 259, Issue 10, pp. 2673 - 2701

Compressions of Toeplitz operators to coinvariant subspaces of H 2 are called truncated Toeplitz operators. We study two questions related to these operators....

Reproducing Kernel Thesis | Toeplitz operators | Model spaces | MATHEMATICS | MEAN-OSCILLATION | RADIAL LIMITS | PALEY-WIENER SPACE | CARLESON MEASURES | STAR-INVARIANT SUBSPACES | EMBEDDINGS | CLASS HANKEL-OPERATORS | Functional Analysis | Mathematics

Reproducing Kernel Thesis | Toeplitz operators | Model spaces | MATHEMATICS | MEAN-OSCILLATION | RADIAL LIMITS | PALEY-WIENER SPACE | CARLESON MEASURES | STAR-INVARIANT SUBSPACES | EMBEDDINGS | CLASS HANKEL-OPERATORS | Functional Analysis | Mathematics

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 09/2007, Volume 135, Issue 9, pp. 2877 - 2886

It is shown that a contraction on a Hilbert space is complex symmetric if and only if the values of its characteristic function are all symmetric with respect...

Eigenfunctions | Hilbert spaces | Scalars | Mathematical theorems | Analytic functions | Characteristic function | Complex symmetric operator | Contraction | MATHEMATICS | MATHEMATICS, APPLIED | contraction | complex symmetric operator | characteristic function

Eigenfunctions | Hilbert spaces | Scalars | Mathematical theorems | Analytic functions | Characteristic function | Complex symmetric operator | Contraction | MATHEMATICS | MATHEMATICS, APPLIED | contraction | complex symmetric operator | characteristic function

Journal Article

05/2016, New mathematical monographs, ISBN 9781107027770, Volume 20, 704

An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects:...

Hilbert space | Analytic functions | Linear operators | Hardy spaces

Hilbert space | Analytic functions | Linear operators | Hardy spaces

eBook

American Journal of Mathematics, ISSN 0002-9327, 2/2010, Volume 132, Issue 1, pp. 125 - 155

... WEIGHTED NORM INEQUALITIES FOR DE BRANGES-ROVNYAK SPACES AND THEIR APPLICATIONS By ANTON BARANOV, EMMANUEL FRICAIN, and JAVAD MASHREGHI Abstract. Let H(b...

Unit ball | Embeddings | Mathematical theorems | Entire functions | Mathematical integrals | Mathematical inequalities | Mathematical functions | Property lines | Operator theory | Hardy spaces | MATHEMATICS | BASES | REPRODUCING KERNELS | RADIAL LIMITS | CARLESON MEASURES | RELATIVE ANGULAR DERIVATIVES | STAR-INVARIANT SUBSPACES | MODEL SPACES | EMBEDDINGS | Inequalities (Mathematics) | Functions | Research | Functional equations | Topological spaces | Mathematical problems | Theorems | Applied mathematics | Functional Analysis | Mathematics

Unit ball | Embeddings | Mathematical theorems | Entire functions | Mathematical integrals | Mathematical inequalities | Mathematical functions | Property lines | Operator theory | Hardy spaces | MATHEMATICS | BASES | REPRODUCING KERNELS | RADIAL LIMITS | CARLESON MEASURES | RELATIVE ANGULAR DERIVATIVES | STAR-INVARIANT SUBSPACES | MODEL SPACES | EMBEDDINGS | Inequalities (Mathematics) | Functions | Research | Functional equations | Topological spaces | Mathematical problems | Theorems | Applied mathematics | Functional Analysis | Mathematics

Journal Article

05/2016, New mathematical monographs, ISBN 9781107027770, Volume 20, 701

An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects:...

Mathematics | Hilbert space | Analytic functions | Linear operators | Hardy spaces

Mathematics | Hilbert space | Analytic functions | Linear operators | Hardy spaces

eBook

Computational Methods and Function Theory, ISSN 1617-9447, 06/2016, Volume 16, Issue 2, pp. 287 - 306

In this paper, we give an explicit description of de Branges-Rovnyak spaces H (b) when b is of the form q(r), where q is a rational outer function in the...

Kernel functions | Corona pairs | de Branges–Rovnyak spaces | Non-extreme points | MATHEMATICS | MATHEMATICS, APPLIED | de Branges-Rovnyak spaces | BRANGES-ROVNYAK SPACES

Kernel functions | Corona pairs | de Branges–Rovnyak spaces | Non-extreme points | MATHEMATICS | MATHEMATICS, APPLIED | de Branges-Rovnyak spaces | BRANGES-ROVNYAK SPACES

Journal Article

Computational Methods and Function Theory, ISSN 1617-9447, 12/2014, Volume 14, Issue 4, pp. 665 - 680

...Comput. Methods Funct. Theory (2014) 14:665–680 DOI 10.1007/s40315-014-0073-z Cyclicity in Reproducing Kernel Hilbert Spaces of Analytic Functions Emmanuel...

Secondary 47B32 | Computational Mathematics and Numerical Analysis | Cyclicity | Functions of a Complex Variable | 47B37 | Analysis | Mathematics | Optimal approximation | Primary 47A16 | MATHEMATICS | MATHEMATICS, APPLIED | DIRICHLET SPACE | VECTORS

Secondary 47B32 | Computational Mathematics and Numerical Analysis | Cyclicity | Functions of a Complex Variable | 47B37 | Analysis | Mathematics | Optimal approximation | Primary 47A16 | MATHEMATICS | MATHEMATICS, APPLIED | DIRICHLET SPACE | VECTORS

Journal Article

2015, Volume 638.

This volume contains the proceedings of the CRM Workshop on Invariant Subspaces of the Shift Operator, held August 26-30, 2013, at the Centre de Recherches...

Shift operators (Operator theory) | Hilbert space | Banach spaces

Shift operators (Operator theory) | Hilbert space | Banach spaces

Conference Proceeding

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