Uniformly bounded Riesz bases and equiconvergence theorems - doi: 10.5269/bspm.v25i1-2.7430
Komornik, Vilmos
Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009), / Harvested from Portal de Periódicos da UEM
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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 equiconvergence theorem.

Publié le : 2009-01-01
DOI : https://doi.org/10.5269/bspm.v25i1-2.7430 
@article{7430,
     title = {Uniformly bounded Riesz bases and equiconvergence theorems - doi: 10.5269/bspm.v25i1-2.7430},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {23},
     year = {2009},
     doi = {10.5269/bspm.v25i1-2.7430},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/7430}
}

Komornik, Vilmos. Uniformly bounded Riesz bases and equiconvergence theorems - doi: 10.5269/bspm.v25i1-2.7430. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v25i1-2.7430. http://gdmltest.u-ga.fr/item/7430/