Main fields of interest
- ... applied abstract ( = conceptual!) harmonic analysis
- Gabor expansions and time-frequency localization
- irregular sampling or scattered data approximation, atomic decompositions
- non-orthogonal expansions, Banach frames, Riesz projection bases
- signals of variable band-width, time-variant filtering, Gabor multipliers
- Banach spaces of distributions on locally compact (Abelian) groups
- generalized Fourier analysis, convolution, pseudo-differential operators
- wavelet theory and function spaces, in particular modulation spaces
- MATLAB as a mathematical research and teaching tool
Private matters and interests
- Katharina Feichtinger-
Ziniel we live in Mistelbach
- Children
- Music: classical, ethnic = World Music, Jazz; Folk-Music (e.g. Irish),
French Chansons, Percussive Music
- Sports: biking, skiing, skating, roller-skating, wind-surfing,
- Instruments: Piano ("private" improvisation), owning a YAHAMA
CLP-970, African drums (but
also drums from Turkey, India, etc.)
- International contacts, traveling
- Science politics (in particular interdisciplinary), contacts with
engineers, medical researchers, musicians, etc.
- Convincing colleagues from applied sciences that pure mathematics can be
both understandable and helpful
- Convincing colleagues from pure mathematics that applications can be
mathematically beautiful and intellectually challenging
- bring people together, host visitors, enable students to work in an
interdisciplinary way
-
establish NuHAG as an
international "long term, global player" within the European research
landscape
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