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The Pelczynski and Dunford-Pettis properties of the space of uniform convergent fourier series with respect to orthogonal polynomials.
Colloq. Math. 164, 1-9 (2021)
The Banach space U(mu) of uniformly convergent Fourier series with respect to an orthonormal polynomial sequence with orthogonalization measure mu supported on a compact set S subset of R is studied. For certain measures mu, involving Bernstein-Szego polynomials and certain Jacobi polynomials, it is proven that U(mu) has the Pelczyriski property, and also that U(mu) and U(mu)* have the Dunford-Pettis property.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Orthogonal Polynomials ; Fourier Series ; Uniform Convergence ; Pelczynski Property ; Dunford-pettis Property ; Bernstein-szego Polynomials ; Jacobi Polynomials
ISSN (print) / ISBN
0010-1354
e-ISSN
1730-6302
Journal
Colloquium Mathematicum
Quellenangaben
Volume: 164,
Issue: 1,
Pages: 1-9
Publisher
Institute of Mathematics, Polish Academy of Sciences
Publishing Place
Krakowskie Przedmiescie 7 Po Box 1001, 00-068 Warsaw, Poland
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)