<b>Uniformly bounded Riesz bases and equiconvergence theorems</b> - doi: 10.5269/bspm.v25i1-2.7430

  • Vilmos Komornik Université Louis Pasteur

Résumé

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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