Multivariate Wave-Packet Transforms

  • Arash Ghaani Farashahi

    The Johns Hopkins University, Baltimore, USA


This paper presents a study for square-integrability of classical multivariate wave-packets in via group representation theory. The abstract notions of multivariate wave-packet groups and multivariate wave-packet representations will be introduced and as the main result, we prove an admissibility condition on closed subgroups of GL, which guarantees the square integrability of classical multivariate wave-packet representations on . Finally, we present application of our results in the case of different admissible subgroups.

Cite this article

Arash Ghaani Farashahi, Multivariate Wave-Packet Transforms. Z. Anal. Anwend. 36 (2017), no. 4, pp. 481–500

DOI 10.4171/ZAA/1598