Coorbits for projective representations with an application to Bergman spaces

@article{Christensen2019CoorbitsFP,
  title={Coorbits for projective representations with an application to Bergman spaces},
  author={Jens Gerlach Christensen and Amer Darweesh and Gestur {\'O}lafsson},
  journal={Monatshefte f{\"u}r Mathematik},
  year={2019},
  volume={189},
  pages={385-420}
}
Representation theory of locally compact topological groups is a powerful tool to analyze Banach spaces of functions and distributions. It provides a unified framework for constructing function spaces and to study several generalizations of the wavelet transform. Recently representation theory has been used to provide atomic decompositions for a large collection of classical Banach spaces. But in some natural situations, including Bergman spaces on bounded domains, representations are too… Expand
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