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arXiv · 1403.7349

Walsh and wavelet methods for differential equations on the Cantor group

E. Lebedeva·M. Skopina
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Abstract

Ordinary and partial differential equation for unknown functions defined on the Cantor dyadic group are studied. We consider two types of equations: related to the Gibbs derivatives and to the fractional modified Gibbs derivatives (or pseudo differential-operators). We find solutions in classes of distributions and study under what assumptions these solutions are regular functions with some "good" properties.

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E. Lebedeva, M. Skopina. 2014-03-28. Walsh and wavelet methods for differential equations on the Cantor group. https://arxiv.org/abs/1403.7349

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