Uniformly bounded Riesz bases and equiconvergence theorems

We review some classical results on the convergence of classical trigonometric and polynomial Fourier series. Then we present a not well-known short proof of the local uniform boundedness of many classical orthonormal systems. Finally, we formulate a strong generalization of Haar's classical eq...

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Bibliographic Details
Main Author: Vilmos Komornik
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2007-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7430/4273