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Funktsional. Anal. i Prilozhen., 2018, Volume 52, Issue 1, Pages 3–12 (Mi faa3481)  

This article is cited in 2 scientific papers (total in 2 papers)

Duhamel Algebras and Applications

M. T. Karaevab

a Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
b Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

Abstract: 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.

Funding Agency Grant Number
King Saud University RGP-VPP-323
This work was financially supported by the Deanship of Scientific Research, King Saud University, in the framework of the Research Group Project no. RGP-VPP-323.


DOI: https://doi.org/10.4213/faa3481

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English version:
Functional Analysis and Its Applications, 2018, 52:1, 1–8

Bibliographic databases:

UDC: 917.98+512.55
Received: 13.05.2016

Citation: M. T. Karaev, “Duhamel Algebras and Applications”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 3–12; Funct. Anal. Appl., 52:1 (2018), 1–8

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. O. A. Ivanova, S. N. Melikhov, “Kommutant operatora Pomme v prostranstve tselykh funktsii eksponentsialnogo tipa i polinomialnogo rosta na veschestvennoi pryamoi”, Vladikavk. matem. zhurn., 20:3 (2018), 48–56  mathnet  crossref
    2. S. N. Melikhov, “Koeffitsienty ryadov eksponent dlya analiticheskikh funktsii i operator Pomme”, Kompleksnyi analiz. Tselye funktsii i ikh primeneniya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 161, VINITI RAN, M., 2019, 65–103  mathnet  mathscinet
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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