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Führ, H.* ; Mayer, M.*

Continuous wavelet transforms from semidirect products: Cyclic representations and Plancherel measure.

J. Fourier Anal. Appl. 8, 375-397 (2002)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
Continuous wavelet transforms arising from the quasiregular representation of a semidirect product group G = R-k x H have been studied by various authors. Recently the attention has shifted from the irreducible case to include more general dilation groups H, for instance cyclic (more generally: discrete) or one-parameter groups. These groups do not give rise to irreducible square-integrable representations, yet it is possible (and quite simple) to give admissibility conditions for a large class of them. We put these results in a theoretical context by establishing a connection to the Plancherel theory of the semidirect products, and show how the admissibility conditions relate to abstract admissibility conditions which use Plancherel theory.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter continuous wavelet transform; Plancherel measure; semidirect products; admissible vectors; admissibility; FRAMES
ISSN (print) / ISBN 1069-5869
Zeitschrift Journal of Fourier Analysis and Applications, The
Quellenangaben Band: 8, Heft: 4, Seiten: 375-397 Artikelnummer: , Supplement: ,
Verlag Birkhäuser
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)