scientific article; zbMATH DE number 7115520

zbMath1438.22007MaRDI QIDQ5236741

Ibrahima Toure, Kinvi Kangni

Publication date: 10 October 2019

Full work available at URL: http://math-frac.org/Journals/EJMAA/Vol8(1)_Jan_2020/Vol8(1)_Papers/Volume8(1)_Paper28_Abstract.html

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zbMATH Keywords

nilpotent Lie grouprepresentations of groupsspherical function of type \(\delta\)

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Harmonic analysis and spherical functions (43A90)

Cites Work

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• Spherical functions of fundamental \(K\)-types associated with the \(n\)-dimensional sphere
• Spherical Fourier transform of type \(\delta\)
• Spherical Fourier transform of type \(\delta\). Applications to semi-simple Lie groups
• Bounded \(K\)-spherical functions on Heisenberg groups
• The orbit method and Gelfand pairs, associated with nilpotent Lie groups
• Spherical functions on Riemannian symmetric spaces
• A Theory of Spherical Functions. I

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