Infinite type homeomorphisms of the circle and convergence of Fourier series
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- by Antônio Zumpano
- Trans. Amer. Math. Soc. 350 (1998), 4023-4040
- DOI: https://doi.org/10.1090/S0002-9947-98-02076-5
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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.References
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Bibliographic Information
- Antônio Zumpano
- Affiliation: Departamento de Matematica, Universidade Federal de Minas Gerais, Caixa Postal 702, 30.123-970 Belo Horizonte MG, Brazil
- Email: zumpano@mat.ufmg.br
- Received by editor(s): November 6, 1994
- Received by editor(s) in revised form: October 23, 1996
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 4023-4040
- MSC (1991): Primary 42A20; Secondary 26A45
- DOI: https://doi.org/10.1090/S0002-9947-98-02076-5
- MathSciNet review: 1451619