Duhamel Algebras and Applications
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We introduce Duhamel algebras and study their properties and applications. We prove that a Banach space of analytic functions on the unit disc that satisfy certain conditions is a Duhamel algebra and describe its closed ideals. These results substantially generalize and improve the main results of Wigley’s papers. Some other related questions are also discussed.
Key wordsDuhamel algebra closed ideal Hardy space Banach space of analytic functions invariant subspace
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