Professor Szafraniec's research in Mathematics covers a wide range of topics.
His initial adventure with Nonlinear Analysis culminated in 1968
when he received his PhD degree from the Jagiellonian University.
Then he suddenly turned to Operator Theory catching, in the right moment,
the most interesting part of it - Dilation Theory.
He got immediately fascinated by Sz.-Nagy's Appendix (1955),
which has inspired his research to date.
Professor Szafraniec's rare ability of finding associations between seemingly
diverse topics allowed him to consider Sz.-Nagy's general dilation theorem as
the source of many ideas leading even beyond Operator Theory itself.
His observation that in the proof of the aforesaid dilation theorem
the reproducing kernel Hilbert space (RKHS) tool is encoded raised
his interest in RKHS significantly and led him to profound applications in e.g.
Complex Variables, Harmonic Analysis and Quantum Theory.
Professor Szafraniec published four research papers in
Acta Scientiarum Mathematicarum,
two of them related to Dilation Theory, one of them having received over 60 citations.
Due to the current pandemic the official award ceremony of the
Béla Szőkefalvi-Nagy Medal will be held at a later date.