Sampling, amenability and the Kunze-Stein phenomenon
Inspired by recent work on the connection between representation theory and atomic decompositions, we take a look at convolution operators on non-unimodular amenable groups as well as non-compact semi-simple Lie groups. We then discuss this in context of sampling. Furthermore, we look at sampling and optimal sampling sets for some often studied spaces.
Publication Source (Journal or Book title)
2015 International Conference on Sampling Theory and Applications, SampTA 2015
Christensen, J., Olafsson, G., & Casey, S. (2015). Sampling, amenability and the Kunze-Stein phenomenon. 2015 International Conference on Sampling Theory and Applications, SampTA 2015, 68-72. https://doi.org/10.1109/SAMPTA.2015.7148852