Joint ICTP-TWAS School on Coherent State Transforms, Time-Frequency and Time-Scale Analysis, Applications | (smr 2585)
Starts 2 Jun 2014
Ends 20 Jun 2014
Central European Time
LB (Main Lecture Hall)
Strada Costiera, 11
I - 34151 Trieste (Italy)
The topics of this school are coherent states, wavelets and their applications (signal/image processing via Gabor and wavelet analysis, inverse problems, approximation theory), plus necessary concepts of functional analysis and group theory. Coherent states and wavelets are two topics that have undergone a tremendous development in the last years, it is an extremely active domain. They have applications in a huge number of domains of physics, mathematics and engineering. This school, that will present many of the topflight experts in the field, will enable young scientists to catch on that fascinating topic and obtain a knowledge suitable for performing top level research. We plan to go from the basic aspects to up-to-date developments and also to cover some of the most exciting applications, such as inverse problems, analysis of geophysical, astronomical or biological (genome) signals.
Coherent states and wavelets are domains where top level research can be done in small, somewhat isolated places, contray to high energy physics, for instance. They are based on beautiful (also applied) mathematics and have applications in a huge variety of domains. In addition, they allow to perform excellent research with small computing equipments, which make them suitable for researchers from developing countries.
The Main Topics
● Basic theory of coherent states, in particular the group-theoretical background
● Gabor analysis with applications
● Wavelet analysis, both continuous and discrete, with applications
● Recent developments, such as curvelets, shearlets, compressed sensing, co-orbit theory or
wavelets on graphs