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Holomorphic cohomological convolution and Hadamard product

2018/12/16 by Christophe Dubussy, Dubussy, Christophe, Jean-Pierre Schneiders +1
Mathematics · #44A35 #55N10 #55N30 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1812.06442

openalex publication_date 2018/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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