| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000395909 |
| ISSN: | 0037-8712 |
| Authors: | Komornik, Vilmos1 |
| Institutions: | 1Universite Louis Pasteur, Departement de Mathematique, Strasbourg, Haut-Rhin. Francia |
| Year: | 2007 |
| Volumen: | 25 |
| Number: | 1-2 |
| Pages: | 139–146-139–146 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English 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 |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas aplicadas, Espacios de Hilbert, Series de Fourier, Series trigonométricas, Análisis armónico, Polinomios ortogonales |
| Keyword: | Mathematics, Applied mathematics, Hilbert spaces, Fourier series, Orthogonal polynomials, Harmonic analysis, Trigonometric series |
| Full text: | Texto completo (Ver PDF) |
