Schwartz correspondence for the complex motion group on \(\mathbb{C}^2\)

DOI10.1016/j.jfa.2023.110068zbMath1528.43005arXiv2105.13045OpenAlexW4381487195MaRDI QIDQ6166745

Francesca Astengo, Fulvio Ricci, Bianca Di Blasio

Publication date: 3 August 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13045

zbMATH Keywords

Lie groupsGelfand pairsgroups of polynomial growthspherical transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90)

Cites Work

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• Gelfand pairs on the Heisenberg group and Schwartz functions
• Spherical analysis on homogeneous vector bundles
• On the Schwartz correspondence for Gelfand pairs of polynomial growth
• Gelfand transforms of polyradial Schwartz functions on the Heisenberg group
• Representation of Elliptic Operators in an Enveloping Algebra
• Smooth Manifolds and Observables
• The topology of the spectrum for Gelfand pairs on Lie groups

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