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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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2007-11-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7430/4273 |
| Summary: | 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. |
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| ISSN: | 0037-8712 2175-1188 |