CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR
KREKOVA 2 SI-2000 MARIBOR SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoreticno fiziko

Generalized Laplace Transforms and Applications to Signal Analysis

Dr. Andreas Ruffing

Technische Universität München, Zentrum Mathematik
Boltzmannstrasse 3, D-85747 Garching, Germany

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 $Z$-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.

Prof.Dr. Marko Robnik
-- Direktor CAMTP --