Czechoslovak Mathematical Journal, Vol. 69, No. 1, pp. 235-255, 2019
The dyadic fractional diffusion kernel as a central limit
Hugo Aimar, Ivana Gómez, Federico Morana
Received June 2, 2017. Published online July 26, 2018.
Abstract: We obtain the fundamental solution kernel of dyadic diffusions in $\mathbb{R}^+$ as a central limit of dyadic mollification of iterations of stable Markov kernels. The main tool is provided by the substitution of classical Fourier analysis by Haar wavelet analysis.
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