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Operator Analysis: Hilbert Space Methods in Complex Analysis

Agler, Jim

1, 2020

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The implicit function theorem and free algebraic sets

Transactions of the American Mathematical Society, 2016-05, Vol.368 (5), p.3157-3175

2016

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Wandering Montel theorems for Hilbert space valued holomorphic functions

Proceedings of the American Mathematical Society, 2018-10, Vol.146 (10), p.4353-4367

2018

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Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions

Transactions of the American Mathematical Society, 2014-03, Vol.366 (3), p.1379-1411, Article 1379

2014

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Aspects of non-commutative function theory

Concrete operators (Warsaw, Poland), 2016-04, Vol.3 (1), p.15-24

2016

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Function theory in the bfd-norm on an elliptical region

Journal of mathematical analysis and applications, 2025-01, Vol.541 (2), p.128732, Article 128732

2025

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Global Holomorphic Functions in Several Noncommuting Variables

Canadian journal of mathematics, 2015-04, Vol.67 (2), p.241-285

2015

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Norm preserving extensions of holomorphic functions defined on varieties in Cn

Journal of functional analysis, 2022-11, Vol.283 (9), Article 109636

2022

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A generalization of Hardy’s operator and an asymptotic Müntz–Szász Theorem

Expositiones mathematicae, 2022-12, Vol.40 (4), p.920-930

2022

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Beurling’s theorem for the Hardy operator on $$L^2[0,1]

Acta scientiarum mathematicarum (Szeged), 2023-11, Vol.89 (3-4), p.573-592

2023

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Monomial operators

Acta scientiarum mathematicarum (Szeged), 2022-08, Vol.88 (1-2), p.371-381

2022

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On the operators with numerical range in an ellipse

Journal of functional analysis, 2024-10, Vol.287 (8), p.110556, Article 110556

2024

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Realization of functions on the symmetrized bidisc

Journal of mathematical analysis and applications, 2017-09, Vol.453 (1), p.227-240

2017

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A Hilbert space approach to singularities of functions

Journal of functional analysis, 2023-03, Vol.284 (6), p.109826, Article 109826

2023

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m-Isometric transformations of Hilbert space, I

Integral equations and operator theory, 1995-12, Vol.21 (4), p.383-429

1995

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Norm preserving extensions of holomorphic functions defined on varieties in C n

Journal of functional analysis, 2022-11, Vol.283 (9), p.109636, Article 109636

2022

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Non-commutative functional calculus

Journal d'analyse mathématique (Jerusalem), 2019-03, Vol.137 (1), p.211-229

2019

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Global Holomorphic Functions in Several Non-Commuting Variables II

Canadian mathematical bulletin, 2018-09, Vol.61 (3), p.458-463

2018

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A geometric characterization of the symmetrized bidisc

Journal of mathematical analysis and applications, 2019-05, Vol.473 (2), p.1377-1413

2019

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Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc

Memoirs of the American Mathematical Society, 2019-03, Vol.258 (1242)

2019

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m-Isometric transformations of hilbert space, III

Integral equations and operator theory, 1996-12, Vol.24 (4), p.379-421

1996

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PICK INTERPOLATION FOR FREE HOLOMORPHIC FUNCTIONS

American journal of mathematics, 2015-12, Vol.137 (6), p.1685-1701

2015

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Algebraic and geometric aspects of rational Γ-inner functions

Advances in mathematics (New York. 1965), 2018-04, Vol.328, p.133-159

2018

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Beurling’s theorem for the Hardy operator on L2[0,1]

Acta scientiarum mathematicarum (Szeged), 2023-11, Vol.89 (3-4), p.573-592

2023

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The Krzyż Conjecture and an Entropy Conjecture

Journal d'analyse mathématique (Jerusalem), 2021-12, Vol.144 (1), p.207-226

2021

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Operator Analysis: Hilbert Space Methods in Complex Analysis

The implicit function theorem and free algebraic sets

Wandering Montel theorems for Hilbert space valued holomorphic functions

Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions

Aspects of non-commutative function theory

Function theory in the bfd-norm on an elliptical region

Global Holomorphic Functions in Several Noncommuting Variables

Norm preserving extensions of holomorphic functions defined on varieties in Cn

A generalization of Hardy’s operator and an asymptotic Müntz–Szász Theorem

Beurling’s theorem for the Hardy operator on $$L^2[0,1]

Monomial operators

On the operators with numerical range in an ellipse

Realization of functions on the symmetrized bidisc

A Hilbert space approach to singularities of functions

m-Isometric transformations of Hilbert space, I

Norm preserving extensions of holomorphic functions defined on varieties in C n

Non-commutative functional calculus

Global Holomorphic Functions in Several Non-Commuting Variables II

A geometric characterization of the symmetrized bidisc

Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc

m-Isometric transformations of hilbert space, III

PICK INTERPOLATION FOR FREE HOLOMORPHIC FUNCTIONS

Algebraic and geometric aspects of rational Γ-inner functions

Beurling’s theorem for the Hardy operator on L2[0,1]

The Krzyż Conjecture and an Entropy Conjecture

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