Email this article Duhamel Algebras and Applications
- Authors: Karaev M.T.1,2
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Affiliations:
- Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
- Department of Mathematics, College of Science, King Saud University
- Issue: Vol 52, No 1 (2018)
- Pages: 1-8
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234388
- DOI: https://doi.org/10.1007/s10688-018-0201-z
- ID: 234388
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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.
About the authors
M. T. Karaev
Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan; Department of Mathematics, College of Science, King Saud University
Author for correspondence.
Email: mtapdigoglu@hotmail.com
Azerbaijan, Baku; Riyadh
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