Integration on the \(n\)th power of a hyperbolic space in terms of invariants under diagonal action of isometries (Lorentz transformations)

DOI10.1007/BF02097102zbMath0705.22009OpenAlexW1966859164MaRDI QIDQ917721

Bent Fuglede

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02097102

zbMATH Keywords

orbitshyperboloidinvariant measuresisometry grouphyperbolic manifoldaction

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Measures on groups and semigroups, etc. (43A05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Structure and representation of the Lorentz group (22E43)

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Cites Work

• Elementary geometry in hyperbolic space
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Unnamed Item

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