Fatou and brothers Riesz theorems in the infinite-dimensional polydisc

DOI10.1007/s11854-019-0006-xzbMath1431.46021arXiv1512.01509OpenAlexW2963193756WikidataQ109553659 ScholiaQ109553659MaRDI QIDQ2000398

Eero Saksman, Alexandru Aleman, Jan-Fredrik Olsen

Publication date: 28 June 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01509

zbMATH Keywords

Hardy spaces of Dirichlet seriesFatou's theorembrothers Riesz theoremHardy spaces on the infinite-dimensional torus

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Boundary behavior of holomorphic functions of several complex variables (32A40) Dirichlet series, exponential series and other series in one complex variable (30B50) Cluster sets, prime ends, boundary behavior (30D40) Hardy spaces (30H10)

Related Items (11)

Toeplitz operators on the Hardy space over the infinite-dimensional polydisc ⋮ Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables ⋮ Hardy spaces of vector-valued Dirichlet series ⋮ Some open questions in analysis for Dirichlet series ⋮ Dilation theory and analytic model theory for doubly commuting sequences of \(C_{\cdot 0}\)-contractions ⋮ Maximal operators on the infinite-dimensional torus ⋮ Mini-workshop: Interplay between number theory and analysis for Dirichlet series. Abstracts from the mini-workshop held October 29 -- November 4, 2017 ⋮ A mean counting function for Dirichlet series and compact composition operators ⋮ Vector-valued general Dirichlet series ⋮ The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk ⋮ Linear space properties of $H^p$ spaces of Dirichlet series

Cites Work

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• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Prediction theory and Fourier series in several variables
• Compact groups and Dirichlet series
• Representing Measures and Hardy Spaces for the Infinite Polydisk Algebra
• Integral means and boundary limits of Dirichlet series
• Diophantine Approximation and Dirichlet Series

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