Duhamel Algebras and Applications
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 1, pp. 3-12

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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.
Keywords: Duhamel algebra, closed ideal, Hardy space, Banach space of analytic functions, invariant subspace.
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M. T. Karaev. Duhamel Algebras and Applications. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/FAA_2018_52_1_a0/