Holomorphic Cohomological Convolution and Hadamard Product

Christophe Dubussy, Jean-Pierre Schneiders

Research output: Contribution to journalArticlepeer-review

Abstract

In this article we explain the link between Pohlen’s extended Hadamard product and the holomorphic cohomological convolution on 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.

Translated title of the contributionConvolution cohomologique holomorphe et produit d'Hadamard
Original languageEnglish
Pages (from-to)21-48
Number of pages28
JournalPublications of the Research Institute for Mathematical Sciences. Series A
Volume58
Issue number1
DOIs
Publication statusPublished - 16 Feb 2022
Externally publishedYes

Keywords

  • Multiplicative convolution
  • Hadamard product
  • Singular homology

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