Admissible wavelets associated with the Heisenberg group

@inproceedings{Liu1997AdmissibleWA,
  title={Admissible wavelets associated with the Heisenberg group},
  author={Heping Liu and Lizhong Peng},
  year={1997}
}
Let NAK be the Iwasawa decomposition of group SU(n + 1, 1). The Iwasawa subgroup P = NA can be identified with the generalized upper half–plane U and has a natural representation U on the L–space of the Heisenberg group L(H). We decompose L(H) into the direct sum of the irreducible invariant closed subspaces under U. The restrictions of U on these subspaces are square–integrable. We characterize the admissible condition in terms of the Fourier transform and define the wavelet transform with… CONTINUE READING

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