Uniformly bounded Riesz bases and equiconvergence theorems - doi: 10.5269/bspm.v25i1-2.7430
DOI:
https://doi.org/10.5269/bspm.v25i1-2.7430Keywords:
Fourier Series, Riesz basis, classical orthogonal polynomials.Abstract
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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