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The dyadic fractional diffusion kernel as a central limit

Hugo Aimar; Ivana Gómez; Federico Morana — 2019

Czechoslovak Mathematical Journal

We obtain the fundamental solution kernel of dyadic diffusions in $ℝ^{+}$ 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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