NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 1

NuHAGNumerical Harmonic Analysis Group

Leader: Prof. Hans Georg Feichtinger (also Dept. Coordinator for Erasmus and Leonardo)

Created in 1992 by Feichtinger, K.Gröchenig, and T.Strohmer (Davis,CA)

Currently (2009): various visitors, as well as

- 7 PostDocs (AT, Germany, Poland, Argentinia)- 10 PhD Students, 4 MSc Students

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 2

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 3

NuHAG goalsBridge the gap between theory and

numerical applicationGo for efficient algorithms which are

applicable to real life problemsProvide theoretical backup which

allows to guarantee convergence ratesRefresh theoretical concepts by

models relevant for scientific/techn. applications

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 4

NuHAG

Among world`s leading groups combining applied sciences with time-frequency analysis and numerical linear algebra Development of theoretical background Robustness and stability considerations Development of mathematical models MATLAB-based coding

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 5

NuHAG

Main Research TopicsTime-Frequency Analysis

Gabor Analysis Application, e.g., to audio-signals Pseudo-differential operators

Irregular Sampling Frame Theory Interpolation,scattered data

approximation

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 6

NuHAG Expertiseframes and non-orthogonal

expansionsirregular samplingiterative reconstruction methodsBanach spaces of functions stability analysis theory of generalized functions numerical harmonic analysis

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 7

NuHAG APPLIED Expertise presently partner in SISE network (FWF

priority program on Sci.Comp.+Eng.): 2009-... leading team in a priority program on image

analysis and pattern recognition (1992-2000) EU network partner for NetAGES (seismic data

processing, Schlumberger, 2001-2004) EU RTN network HASSIP: Harmonic Anal. +

Signal processing RTN network (2002-2006) MOHAWI (WWTF proj): 2005-2009 (EE)

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 8

NuHAGDissemination: WWW.NUHAG.EU large number of publications papersThree books on Gabor AnalysisEd. JFAA: Journal Fourier Analysis Appl.Organizing Conferences and

Workshops- Mathematics and Music (December, 1999)- Gabor Centenary Conference (June 2000)- Gabor Workshop (2001,2002,2005,2007,2009)- SampTA03 (May, 2003), ESI Spec. Semester …

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 9

NuHAG personellNuHAG has become an international

center of excellence (20-25 people)network node for HASSIP network

(Harmonic Analysis and Statistics for Signal and Image Processing)

host to 5 EU Marie Curie Intra European Individual fellows

well connected internationally

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

10

NuHAG Team for ESO

At the moment two important projects are coming to an end: EUCETIFA: 2005-2009 (EU) Dr. Tomasz Hrycak NAHA: Num. Appl. Harm. Anal: Dr. Darian Onchis-Moaca Grad.Kolleg: Saptarshi Das (IIT Mumbai, graduates Aug.09)

NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 11

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NuHAG Presentation at ESO (Garching), Jan. 2009 University of Vienna

Prof. Hans Georg Feichtinger 12

NuHAG and EducationEducation to application oriented

research by combining mathematical modelling with numerical realization

Making students familiar with the situation of project formulation, interaction with scientists at large, „bi-linguality“ relevant!

Presentation and formulation of resultsDiscuss goals and basic ideas in non-

mathematical terms, present relevance