Oberwolfach Reports

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Volume 11, Issue 1, 2014, pp. 335–393
DOI: 10.4171/OWR/2014/06

Published online: 2014-12-10

Dirichlet Series and Function Theory in Polydiscs

Andreas Defant[1], Manuel Maestre[2], Eero Saksmann[3] and Kristian Seip[4]

(1) Carl von Ossietzky Universit├Ąt Oldenburg, Germany
(2) Universitat de Valencia, Burjassot (Valencia), Spain
(3) University of Helsinki, Finland
(4) University of Trondheim, Norway

The interaction between Dirichlet series and function theory in polydiscs dates back to a fundamental insight of Harald Bohr and the subsequent groundbreaking work on multilinear forms and polarization by Bohnenblust and Hille. Since around 1997, there has been a revival of interest in the research area opened up by these early contributions. The workshop reflected the status of the field and led to fruitful discussions on problems of current interest and future research directions.

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Defant Andreas, Maestre Manuel, Saksmann Eero, Seip Kristian: Dirichlet Series and Function Theory in Polydiscs. Oberwolfach Rep. 11 (2014), 335-393. doi: 10.4171/OWR/2014/06