de Branges spaces on compact Riemann surfaces and a Beurling-Lax type\n theorem

2018/06/22 by Daniel Alpay, Alpay, Daniel, Ariel Pinhas +3
Mathematics · #46E22 #47A48 #47B32 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1806.08670

openalex publication_date 2018/06/22 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

Using the notion of commutative operator vessels, this work investigates de\nBranges-Rovnyak spaces whose elements are sections of a line bundle of\nmultiplicative half-order differentials on a compact real Riemann surface. As a\nspecial case, we obtain a Beurling-Lax type theorem in the setting of the\ncorresponding Hardy space on a finite bordered Riemann surface.\n

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