See Projects funded by Marie Curie Excellence Grant (EXT) and Chair (EXC) Actions 2004»
The objective of the project is the development of the mathematical foundations and efficient algorithms for applications in the areas of communication theory, signal- and image processing, astronomy, geosciences, and related areas.
EUCETIFA will promote the systematic transfer of knowledge from problem identification in science or technology to working computer code based on the following principles:
a) Openness towards real applications and active identification of promising areas of future relevance;
b) Mathematical modelling leading to rigorous and detailed mathematical descriptions of those problems;
c) Development of a mathematical framework that ensures correct treatment based on mathematical analysis;
d) Development of efficient numerical algorithms that address the numerical and implementational questions;
e) Interaction with applied scientists to test these algorithms and establish a "best practice";
f) Education and training for team-members and associated PostDocs and PhD students.
Spearheaded by the tremendeous impact of wavelets, applied harmonic analysis has proven to be a powerful tool for the treatment of time-varying systems. A recently developed approach with time-frequency methods opens a new view on important classes of pseudo-differential operators of high practical relevance, e.g., for communication theory and for applications in geophysical signal processing. It is one of the goals of this project to bridge the gap between the mathematical analysis and the concrete applications in these areas in order to enable further advances and breakthroughs.
The scientific cornerstones are formed by three work-packages: (A) Pseudo-differential operators and time-varying systems and their applications, (B) Sampling and time-frequency analysis (for the optimal extraction of information from valuable data), and (C) Localization methods based on Banach algebra methods, and their consequences for applications.
The project will provide leadership in an area which is expected to grow fast in the coming years and where shortage of mathematical expertise may occur if no counteraction is taken. Well embedded into the European research area, the participating researchers will be connected to other European research centers and several labs of European based international companies. Hence EUCETIFA will also function as a center of excellence and as a partner for the development of emerging technologies there, also providing academic and practical training.
The center can build on the international visibility of an informal group (NuHAG) at the host institution, and will counteract brain drain to the USA by bringing an excellent scientist of high originality back to Europe, who will attract talented young researchers from all over the world to Vienna. Based on previous experience with the new "holistic" approach one can predict that engineers and mathematicians cooperating with this new center will have very good chances for a good academic or industrial career.