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 Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/18243

title: Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
authors: Daniel Alpay
Paula Cerejeiras
Uwe Kähler
keywords: Fractional Dirac operator
Gleason's problem
Drury-Arveson space
issue date: 30-May-2017
publisher: American Mathematical Society
abstract: In this paper we present the building blocks for a function theory based on fractional Cauchy-Riemann operators. We are going to construct basic monogenic powers and Fueter series. With these tools we are going to study Gleason’s problem and reproducing kernel spaces, like the Drury- Arveson space and de Branges-Rovnyak spaces. We end with a statement on Schur multipliers in this setting.
URI: http://hdl.handle.net/10773/18243
ISSN: 0002-9939
publisher version/DOI: http://doi.org/10.1090/proc/13613
source: Proceedings of the American Mathematical Society
appears in collectionsCIDMA - Artigos

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