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Fractional Laplacians, Splines, Wavelets, and Fractal Processes

R. Delgado-Gonzalo, P. Tafti, C. Rabut, M. Unser

Research Workshop on Subdivision and Refinability 2009 (SR'09), Pontignano, Italian Republic, October 12-15, 2009.



Our aim is to propose a multi-dimensional operator framework that provides a bridge between approximation theory (in particular, the construction of polyharmonic splines and wavelets) and the investigation of self-similar stochastic processes.


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