Abstract
The main result of the paper is the following: for the Walsh transform of a wavelet type system on [0, l], there is an integrable function whose Fourier expansion with respect to the transformed system is divergent almost everywhere on [0, l]. This is an extension of the result by K. S. Kazarian and A. S. Sargsian [9] for the bounded Ciesielski system, i.e. the Walsh transform of the Franklin system.
Citation
Anna Kamont. Barbara Wolnik. "The Walsh transform of wavelet type systems: divergence almost everywhere." Funct. Approx. Comment. Math. 32 57 - 66, 2004. https://doi.org/10.7169/facm/1538186625
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