On the Schwartz correspondence for Gelfand pairs of polynomial growth

DOI10.4171/RLM/927zbMath1477.43007arXiv2101.05378OpenAlexW3120764886MaRDI QIDQ2039140

Fulvio Ricci, Bianca Di Blasio, Francesca Astengo

Publication date: 2 July 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05378

zbMATH Keywords

Gelfand pairsSchwartz spacegroups of polynomial growthspherical transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nilpotent Gelfand pairs and spherical transforms of Schwartz functions. I: Rank-one actions on the centre
• Nilpotent Gelfand pairs and Schwartz extensions of spherical transforms via quotient pairs
• Analysis of joint spectral multipliers on Lie groups of polynomial growth
• Gelfand transforms of \(\mathrm{SO}(3)\)-invariant Schwartz functions on the free group \(N_{3,2}\)
• Principal Gelfand pairs
• Gelfand pairs on the Heisenberg group and Schwartz functions
• Introduction to harmonic analysis and generalized Gelfand pairs
• A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
• Smooth functions invariant under the action of a compact Lie group
• Differentiable invariants
• A class of symmetric and a class of Wiener group algebras
• The spherical transform of a Schwartz function on the Heisenberg group
• Spherical analysis on homogeneous vector bundles
• A classification of multiplicity free actions
• Matrix spherical analysis on nilmanifolds
• Gelfand transforms of polyradial Schwartz functions on the Heisenberg group
• Commutative homogeneous spaces and co-isotropic symplectic actions
• Representation of Elliptic Operators in an Enveloping Algebra
• On Gelfand Pairs Associated with Solvable Lie Groups

This page was built for publication: On the Schwartz correspondence for Gelfand pairs of polynomial growth