Project

Difference-differential operators in Clifford analysis

Duration
01 June 2008 → 31 January 2009
Funding
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Analysis
    • Biochemistry and metabolism
    • Systems biology
  • Medical and health sciences
    • Medical biochemistry and metabolism
    • Medical biochemistry and metabolism
    • Medical biochemistry and metabolism
Keywords
discrete clifford analysis
 
Project description

This project aims at studying difference-differential operators in dicrete Clifford analysis, more specifically homogeneous discrete-monogenic polynomials defined in Euclidean space of arbitrary dimension and taking values in a Clifford algebra of general signature. This would lay the fundaments for applications on the Fourier transform, the wavelet transform, the Hilbert transform and Hardy spaces in connection with the new Clifford-Dunkl operators.