Abstract: The Hilgerian time scale approach leads to a unified description of differential and difference equations. The concept of an exponential function on suitable time scales is introduced. Properties of the Hilgerian exponential functions are studied and applied to discrete Laplace transforms acting on special functions on suitable time scales. Proceeding into this direction, we finally recall the structure of the so-called -transform and compare it with the results on discrete Laplace transforms on time scales. Applications to discrete signal analysis are briefly sketched.
Seminarsko predavanje bo v cetrtek, 3. aprila 2003 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritlicje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.