Extended harmonic analysis of phase space representations for the Galilei group

DOI10.1007/BF00046933zbMath0603.22011OpenAlexW2077704639MaRDI QIDQ1082462

Eduard Prugovečki, Syed Twareque Ali

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046933

zbMATH Keywords

phase space representationsreproducing kernel Hilbert spacesharmonic analysisGalilei groupsystems of covariance

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70)

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Cites Work

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• Harmonic analysis and systems of covariance for phase space representation of the Poincaré group
• Contraction of Lie Groups
• On some representations of the Poincaré group on phase space
• On some representations of the Poincaré group on phase space. II
• Systems of imprimitivity and representations of quantum mechanics on fuzzy phase spaces
• The bra and ket formalism in extended Hilbert space
• On Some Unitary Representations of the Galilei Group I. Irreducible Representations
• Infinite-dimensional group representations
• Galilei Group and Nonrelativistic Quantum Mechanics
• Reciprocity Theory of Elementary Particles
• Representations of the Galilei group