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Holomorphic Cohomological Convolution and Hadamard Product

Holomorphic cohomological convolution and Hadamard product
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 16 Feb 2022Embargo end date: 01 Jan 2018 Belgium Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Publications of the Research Institute for Mathematical Sciences, volume 58, pages 21-48 (issn: 0034-5318, eissn: 1663-4926, Copyright policy )
Authors: Dubussy, Christophe; Schneiders, Jean-Pierre;

doi: 10.4171/prims/58-1-2 , 10.48550/arxiv.1812.06442

arXiv: 1812.06442

handle: 2268/242812

Holomorphic Cohomological Convolution and Hadamard Product

Abstract

In this article we explain the link between Pohlen’s extended Hadamard product and the holomorphic cohomological convolution on \mathbb{C}^* . For this purpose we introduce a generalized Hadamard product, which is defined even if the holomorphic functions do not vanish at infinity, as well as a notion of strongly convolvable sets.

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Belgium
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Keywords

Hadamard product, Mathematics - Complex Variables, Physique, chimie, mathématiques & sciences de la terre, 44A35, 55N10, 55N30, Singular homology, Mathématiques, Multiplicative convolution, Physical, chemical, mathematical & earth Sciences, FOS: Mathematics, Complex Variables (math.CV), power series, Mathematics, Analytic continuation of functions of one complex variable

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
bronze