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Title: Gleason’s problem associated to the fractional cauchy-riemann operator, fueter series, drury-arveson space and related topics
Author: Alpay, Daniel
Cerejeiras, Paula
Kähler, Uwe
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.
Peer review: yes
DOI: 10.1090/proc/13613
ISSN: 0002-9939
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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