  These are the lecture notes of a series of lectures on Dunkl operators. We
discuss the underlying algebraic structure of the degenerate double affine
Hecke algebra, intertwiners and shift operators. We apply this to Macdonald
theory. We also discuss the ``compact'' and ``noncompact'' spectral
decomposition of these operators. In the attractive noncompact situation we
classify the discrete eigenfunctions and compute their square norms.
