Open Access Green as soon as Postprint is submitted to ZB.
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
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
Reviewing status Peer reviewed
Institute(s) Institute of Computational Biology (ICB)