Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces

@article{Dahlke2008GeneralizedCT,
  title={Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces},
  author={S. Dahlke and M. Fornasier and H. Rauhut and G. Steidl and G. Teschke},
  journal={Proceedings of The London Mathematical Society},
  year={2008},
  volume={96},
  pages={464-506}
}
  • S. Dahlke, M. Fornasier, +2 authors G. Teschke
  • Published 2008
  • Mathematics
  • Proceedings of The London Mathematical Society
  • This paper is concerned with generalizations and specific applications of the coorbit space theory based on group representations modulo quotients that has been developed quite recently. We show that the general theory applied to the affine Weyl–Heisenberg group gives rise to families of smoothness spaces that can be identified with α-modulation spaces. 
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