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Infinite type homeomorphisms of the circle and convergence of Fourier series |
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| Authors: | Antô nio Zumpano |
| Affiliation: | Departamento de Matematica, Universidade Federal de Minas Gerais, Caixa Postal 702, 30.123-970 Belo Horizonte MG, Brazil |
| Abstract: | We consider the problem of convergence of Fourier series when we make a change of variable. Under a certain reasonable hypothesis, we give a necessary and sufficient condition for a homeomorphism of the circle to transform absolutely convergent Fourier series into uniformly convergent Fourier series. |
| Keywords: | Oscillatory integral Fourier analysis Fourier series homeomorphism of the circle |
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