Research Explorer

Project

Generalized Fourier transforms in harmonic and clifford analysis
Code
01N01513
Duration
01 January 2013 → 31 October 2017
Funding
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Functions of a complex variable
    • Harmonic analysis on Euclidean spaces
    • Integral transforms, operational calculus
    • Special functions
Keywords
Dunkl transform Fourier transform clifford analysis Slice Dirac operator harmonic analysis
 
Project description
 

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.