Research into the genetic and ecological mechanisms of symptrische divergence in the marsh-dwelling loopkver pogonus chalceus

01 October 2009 → 01 October 2010
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Analysis
discrete function theory clifford analysis Hilbert transform
Project description

We will study function theoretic properties of discrete monogenic function, i.e. null solutions of a discrete Dirac operator which factorises the discrete Laplacian of a connected graph. In view of applications in signal analysis, more precisely the study of brain waves, a discrete multidimensional Hilbert transorm will be constructed and its relation to discrete Fourier and Radon transforms investigated.