Speaker: Peter Massopust, Technical University of Munich

Time : 15:00 - 16.00 CET (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

Zoom :  A zoom meeitng link will appear here, one hour before the talk

Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords: bicomplex number, fractal interpolation, Read–Bajraktarević operator

Abstract: Bicomplex numbers and functions have been applied to problems in physics, engineering and computer science. Prominent areas of application are electrodynamics, fluid dynamics, quantum theory and signal processing.

This talk presents bicomplex functions from the fractal interpolation point of view and introduces a novel approach to approximate and interpolate irregular and non-smooth bicomplex functions by means of iterated function systems and an associated Read–Bajraktarević operator.

Joint work with Emna Marzouki, Technical University of Munich

Biography: Peter Massopust's main research interests lie in the areas of harmonic analysis, fractal geometry, and Clifford analysis. He is well-known for his contributions to the theory of iterated function systems, fractal interpolation, and wavelets. He is currently at the Technical University of Munich, Germany.

Bibliography