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Project
Generalized Fourier transforms in harmonic and clifford analysis
The aim of this project is twofold. first a detailed study of the Dunkl transform, including translation and convolution, will be made for all dihedral groups. Second, the slice Fourier transform, which is the natural integral transform related to the newly developed theory of slice regular functions, will be defined an studied in -depth.
Date:1 Jan 2013 → 31 Oct 2017
Keywords:Dunkl transform, Fourier transform, clifford analysis, Slice Dirac operator, harmonic analysis
Disciplines:Functions of a complex variable, Harmonic analysis on Euclidean spaces, Special functions, Integral transforms, operational calculus