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

1. The Uncertainty Principle for Operators Determined by Lie Groups , J. Fourier Anal. Appl. 10 (2004), no. 5, 541--544.
2. An uncertainty principle related to the Euclidean motion group , w. H. Schlichtkrull, Math. Proc. R. Ir. Acad. 104A (2004), no. 2, 249--252 (electronic)
3. Examples of Coorbit Spaces for Dual Pairs , w. G. Olafsson, Acta Appl. Math. 107 (2009), no. 1-3, 25--48.
4. Coorbit Spaces for Dual Pairs, w. G. Olafsson, Appl. Comp. Harm. Anal. Vol. 31 Issue 2 (2011), 303-324
5. Sampling in reproducing kernel Banach spaces on Lie groups, Journal of Approximation Theory, Vol. 164 Issue 1 (2012), 179-203
6. Sampling in spaces of bandlimited functions on commutative spaces (ArXiV), w. G. Olafsson, chapter in ANHA book series, 2012
7. Multi-window Gabor frames in amalgam spaces (ArXiV), w. R. Balan, I.A. Krishtal, K. Okoudjou and J.L. Romero, Submitted, August 2011
8. 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
9. Atomic decompositions of Besov spaces related to symmetric cones (ArXiV), To appear in Contemporary Mathematics

1. 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.