A wavelet transform for the Poincaré group

DOI10.1063/1.529273zbMath0732.22020OpenAlexW1996237911MaRDI QIDQ3358966

John R. Klauder, R. F. Streater

Publication date: 1991

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529273

zbMATH Keywords

wavelet transformPoincaré groupsquare integrablereducible cyclic representations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43) Other transforms and operators of Fourier type (43A32)

Related Items

Study of multiplication operator on \(\mathcal H_{\frac 12}\oplus \mathcal H_{-\frac 12}\) ⋮ Admissible vectors for the regular representation ⋮ Wavelets and the Poincaré half-plane ⋮ Unnamed Item ⋮ Continuous wavelet transforms with Abelian dilation groups

Cites Work

• Group representations in reproducing kernel Hilbert spaces
• Coherent states over symplectic homogeneous spaces