My current research is concerned with the construction of Banach spaces by use of representation theory and discrete decomposition of these spaces.

Research interests

- Harmonic analysis
- Time-frequency analysis
- Representation theory
- Uncertainty principles
- Frames and wavelets
- Reproducing kernel Banach spaces
- Sampling theory

Articles

- The Uncertainty Principle for Operators Determined by Lie Groups , J. Fourier Anal. Appl. 10 (2004), no. 5, 541--544.
- An uncertainty principle related to the Euclidean motion group , w. H. Schlichtkrull, Math. Proc. R. Ir. Acad. 104A (2004), no. 2, 249--252 (electronic)
- Examples of Coorbit Spaces for Dual Pairs , w. G. Olafsson, Acta Appl. Math. 107 (2009), no. 1-3, 25--48.
- Coorbit Spaces for Dual Pairs, w. G. Olafsson, Appl. Comp. Harm. Anal. Vol. 31 Issue 2 (2011), 303-324
- Sampling in reproducing kernel Banach spaces on Lie groups, Journal of Approximation Theory, Vol. 164 Issue 1 (2012), 179-203
- Sampling in spaces of bandlimited functions on commutative spaces (ArXiV), w. G. Olafsson, chapter in ANHA book series, 2012
- Multi-window Gabor frames in amalgam spaces (ArXiV), w. R. Balan, I.A. Krishtal, K. Okoudjou and J.L. Romero, Submitted, August 2011
- Coorbit description and atomic decomposition of Besov spaces, w. A. Mayeli and G. Olafsson, Numer. Funct. Anal. Optim., Vol. 33, Issue 7-9 (2012), 847-871
- Atomic decompositions of Besov spaces related to symmetric cones (ArXiV), To appear in Contemporary Mathematics

- Geometric Analysis and Integral Ieometry, proceedings of 2012 AMS special session honoring Sigurdur Helgason and Tufts Workshop on this topic, approved by AMS for the series Contemporary Mathematics.