Convergence of generalized conjugate partial sums of Fourier series

Autores: Per Sjölin
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 55, Fasc. 1, 2004, págs. 21-32
Idioma: inglés
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Resumen
- Generalized conjugate partial sums of Fourier series are used to find jumps of functions. The rate of convergence is studied and sharp results are obtained.
Referencias bibliográficas
- A. Gelb and E. Tadmor, Detection of edges in spectral data, Appl. Comput. Harmon. Anal. 7 (1999), 101–135.
- A. Gelb and E. Tadmor, Detection of edges in spectral data II. Nonlinear enhancement, SIAM J. Numer. Anal. 38 (2000), 1389–1408.
- A. Zygmund, Trigonometric Series, Vol. I, Cambridge University Press, 1959.