Abstract
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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The research has been supported by CONICET, UNL and ANPCyT (MINCyT).
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Aimar, H., Gómez, I. & Morana, F. The Dyadic Fractional Diffusion Kernel as a Central Limit. Czech Math J 69, 235–255 (2019). https://doi.org/10.21136/CMJ.2018.0274-17
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DOI: https://doi.org/10.21136/CMJ.2018.0274-17