scientific article; zbMATH DE number 7283358

zbMath1471.43008MaRDI QIDQ5139586

Mahmoud al-Hashami

Publication date: 9 December 2020

Full work available at URL: http://nzjm.math.auckland.ac.nz/index.php/Berezin-Karpelevich_formula_for_chi-spherical_functions_on_complex_Grassmannians

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Jacobi functionspherical functionsHermitian symmetric spacesLaplace-Beltrami operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Differential geometry of symmetric spaces (53C35) Harmonic analysis and spherical functions (43A90) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Harmonic analysis on general compact groups (43A77)

Cites Work

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• Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\)
• Spherical functions and invariant differential operators on complex Grassmann manifolds
• The Plancherel formula for spherical functions with a one-dimensional \(K\)-type on a simply connected simple Lie group of Hermitian type
• Smoothness of the Radon-Nikodym derivative of a convolution of orbital measures on compact symmetric spaces of rank one
• An infinitesimal characterization of Gel′fand pairs
• One-dimensional $K$-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.
• Compact Lie Groups
• Paley–Wiener theorem for line bundles over compact symmetric spaces and new estimates for the Heckman–Opdam hypergeometric functions
• Convolution of $\chi$-orbital Measures on Complex Grassmannians
• Sur les représentations unitaires des groupes de Lorentz généralisés

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