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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Vydané v:	Applied and computational harmonic analysis Ročník 31; číslo 1; s. 143 - 168
Hlavní autori:	Calixto, M., Pérez-Romero, E.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.07.2011
Predmet:	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
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