




Research
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
 Timefrequency analysis
 Representation theory
 Uncertainty principles
 Frames and wavelets
 Reproducing kernel Banach spaces
 Sampling theory
 Mean value operators and Radon transforms
Publications
Articles

The Uncertainty Principle for Operators Determined by Lie Groups
, J. Fourier Anal. Appl. 10 (2004), no. 5, 541544.

An uncertainty principle related to the Euclidean motion group
, w. H. Schlichtkrull, Math. Proc. R. Ir. Acad. 104A (2004), no. 2, 249252 (electronic)

Examples of Coorbit Spaces for Dual Pairs
, w. G. Olafsson, Acta Appl. Math. 107 (2009), no. 13, 2548.

Coorbit Spaces for Dual Pairs,
w. G. Olafsson, Appl. Comp. Harm. Anal. Vol. 31 Issue 2 (2011), 303324

Sampling in reproducing kernel Banach spaces on Lie groups,
Journal of Approximation Theory, Vol. 164 Issue 1 (2012), 179203

Coorbit description and atomic decomposition of Besov spaces,
w. A. Mayeli and G. Olafsson,
Numer. Funct. Anal. Optim., Vol. 33, Issue 79 (2012), 847871

Atomic decompositions of Besov spaces related to symmetric cones,
Contemporary Mathematics, Vol. 598 (2013), 97110

Multiwindow Gabor frames in amalgam spaces,
w. R. Balan, I.A. Krishtal, K. Okoudjou
and J.L. Romero, Math. Res. Lett., Vol. 21, Number 1 (2014), 5569

New atomic decompositions for Bergman spaces on the unit ball,
w. K. Grochenig and G. Olafsson, Indiana Univ. Math. J., Vol. 66, Issue 1 (2017), 205235

Surjectivity of mean value operators on noncompact symmetric spaces,
w. F. Gonzalez and T. Kakehi in J. Funct. Anal. 272 (2017), no. 9, 36103646.

Atomic decompositions of mixed norm Bergman spaces on tube type domains ,
accepted into an AMS Contemporary Mathematics volume.

Coorbits for projective representations with an application to Bergman spaces
w. A. Darweesh and G. Olafsson, submitted.
Refereed book chapters

Sampling in Euclidean and NonEuclidean Domains: A Unified Approach,
w. S. Casey, Chapter in Applied and Numerical Harmonic Analysis book series
Sampling Theory, a Renaissance. Birkhauser, Boston (2015).

Sampling in spaces of bandlimited functions on commutative spaces,
w. G. Olafsson. Chapter in Applied and Numerical Harmonic Analysis book series
Excursions in Harmonic Analysis, Volume 1. Birkhauser, Boston (2012).
Books edited

Geometric Analysis and Integral Geometry, Contemporary Mathematics, Volume 598 (2013),
proceedings of 2012 AMS
special session honoring Sigurdur Helgason and Tufts Workshop on this topic. Editors: Todd Quinto (main editor),
Fulton Gonzalez and Jens Christensen

Trends in harmonic analysis and its applications,
Contemporary Mathematics, Volume 650 (2015),
Proceedings of AMS special session at 2014 Spring Eastern Sectional Meeting at UMBC in Baltimore.
Editors: Jens Christensen (main editor), Susanna Dann, Azita Mayeli and Gestur Olafsson

