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 contribution | Convolution cohomologique holomorphe et produit d'Hadamard |
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Original language | English |
Pages (from-to) | 21-48 |
Number of pages | 28 |
Journal | Publications of the Research Institute for Mathematical Sciences. Series A |
Volume | 58 |
Issue number | 1 |
DOIs | |
Publication status | Published - 16 Feb 2022 |
Externally published | Yes |
Keywords
- Multiplicative convolution
- Hadamard product
- Singular homology