Some harmonic analysis on commutative nilmanifolds

zbMath1476.43006arXiv1909.09873MaRDI QIDQ5858228

Andrea L. Gallo, Linda Saal

Publication date: 12 April 2021

Full work available at URL: https://arxiv.org/abs/1909.09873

zbMATH Keywords

inversion formulaGelfand pairsnilpotent Lie groupspherical function

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• Bounded \(K\)-spherical functions on Heisenberg groups
• Homogeneous nilmanifolds attached to representations of compact Lie groups
• The orbit method and Gelfand pairs, associated with nilpotent Lie groups
• On Gelfand Pairs Associated with Solvable Lie Groups
• Harmonic Analysis in Phase Space. (AM-122)
• Square Integrable Representations of Nilpotent Groups
• Gelfand pairs attached to representations of compact Lie groups

This page was built for publication: Some harmonic analysis on commutative nilmanifolds