Convolution of $\chi$-orbital Measures on Complex Grassmannians

zbMath1395.43005arXiv2107.10914MaRDI QIDQ4583909

Mahmoud al-Hashami, Boudjemâa Anchouche

Publication date: 28 August 2018

Full work available at URL: https://arxiv.org/abs/2107.10914

zbMATH Keywords

spherical functionsGrassmanniansRadon-Nikodym derivativeconvolution of orbital measures

Mathematics Subject Classification ID

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)

Related Items (2)

The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces ⋮ Unnamed Item

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
• Zonal measure algebras on isotropy irreducible homogeneous spaces
• Smoothness of the Radon-Nikodym derivative of a convolution of orbital measures on compact symmetric spaces of rank one
• The geometry and structure of isotropy irreducible homogeneous spaces
• Fourier series of smooth functions on compact Lie groups
• Compact Lie Groups
• The spherical Paley-Wiener theorem on the complex Grassmann manifolds SU(𝑝+𝑞)/S(U_{𝑝}×U_{𝑞})

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