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arxiv: 0802.4417 · v1 · submitted 2008-02-29 · 🧮 math.CV

A characterization of Schur multipliers between character-automorphic Hardy spaces

classification 🧮 math.CV
keywords spacesanalyticcharacter-automorphiccharacterizationhardymultipliersargumentsbranges
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We give a new characterization of character-automorphic Hardy spaces of order 2 and of their contractive multipliers in terms of de Branges Rovnyak spaces. Keys tools in our arguments are analytic extension and a factorization result for matrix-valued analytic functions due to Leech.

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