Extended MacMahon–Schwingerʼs Master Theorem and conformal wavelets in complex Minkowski space

We construct the Continuous Wavelet Transform (CWT) on the homogeneous space (Cartan domain) D 4 = SO ( 4 , 2 ) / ( SO ( 4 ) × SO ( 2 ) ) of the conformal group SO ( 4 , 2 ) (locally isomorphic to SU ( 2 , 2 ) ) in 1 + 3 dimensions. The manifold D 4 can be mapped one-to-one onto the future tube doma...

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Bibliographic Details

Published in:	Applied and computational harmonic analysis Vol. 31; no. 1; pp. 143 - 168
Main Authors:	Calixto, M., Pérez-Romero, E.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.07.2011
Subjects:	Complex domains Conformal group Continuous wavelet transform Non-commutative harmonic analysis Schwingerʼs Master Theorem Unitary holomorphic representations Complex domains Non-commutative harmonic analysis Conformal group Schwingerʼs Master Theorem Unitary holomorphic representations Continuous wavelet transform
ISSN:	1063-5203, 1096-603X
Online Access:	Get full text
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