Canonical representations and overgroups for hyperboloids

DOI10.1007/s10688-005-0049-xzbMath1116.43007OpenAlexW1978830719MaRDI QIDQ883644

Vladimir F. Molchanov

Publication date: 5 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0049-x

zbMATH Keywords

canonical representationsLie groupsLie algebrasPoisson and Fourier transformations

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

Poisson and Fourier transforms for tensor products ⋮ The Poisson model of the Fock space and representations of current groups ⋮ The Fourier transform on the group \(\mathrm{GL}_2(\mathbb{R})\) and the action of the overalgebra \(\mathfrak{gl}_4\) ⋮ Operational calculus for the Fourier transform on the group \(\mathrm{GL}(2,\mathbb{R})\) and the problem about the action of an overalgebra in the Plancherel decomposition ⋮ Restriction of representations of \(\mathrm{GL}(n + 1, \mathbb{C})\) to \(\mathrm{GL}(n, \mathbb{C})\) and action of the Lie overalgebra ⋮ Fourier transform on the Lobachevsky plane and operational calculus

Cites Work

• Canonical representations and overgroups for hyperboloids of one sheet and Lobachevsky spaces
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• The action of an overalgebra on the Plancherel decomposition and shift operators in the imaginary direction
• REPRESENTATIONS OF PSEUDO-ORTHOGONAL GROUPS ASSOCIATED WITH A CONE
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Canonical representations and overgroups for hyperboloids