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arXiv · 2204.01559

An invitation to the Drury-Arveson space

Michael Hartz
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Abstract

This is an extended version of a three part mini course on the Drury-Arveson space given as part of the Focus Program on Analytic Function Spaces and their Applications, hosted by the Fields Institute and held remotely. The Drury-Arveson space, also known as symmetric Fock space, is a natural generalization of the classical Hardy space on the unit disc to the unit ball in higher dimensions. It plays a universal role both in operator theory and in function theory. These notes give an introduction to the Drury-Arveson space. They are not intended to give a comprehensive overview of the entire subject, but rather aim to explain some of the contexts in which the Drury-Arveson space makes an appearance and to showcase the different approaches to this space.

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Michael Hartz. 2022-04-04. An invitation to the Drury-Arveson space. https://arxiv.org/abs/2204.01559

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