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Cyclicity of Cowen-Douglas tuples

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arxiv 2501.11480 v1 pith:BV6XTZFQ submitted 2025-01-20 math.FA

Cyclicity of Cowen-Douglas tuples

classification math.FA
keywords cowen-douglasbundlescyclicityholomorphictuplesvectorcomplexconclusively
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The study of Cowen-Douglas operators involves not only operator-theoretic tools but also complex geometry on holomorphic vector bundles. By leveraging the properties of holomorphic vector bundles, this paper investigates the cyclicity of Cowen-Douglas tuples and demonstrates conclusively that every such tuple is cyclic.

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