The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces

zbMath1479.43014arXiv1903.11415MaRDI QIDQ5001441

Sanjiv Kumar Gupta, Kathryn E. Hare

Publication date: 19 July 2021

Full work available at URL: https://arxiv.org/abs/1903.11415

zbMATH Keywords

spherical functionsabsolute continuityorbital measurecomplex Grassmannian symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Integration on manifolds; measures on manifolds (58C35) Harmonic analysis and spherical functions (43A90) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The absolute continuity of convolutions of orbital measures in symmetric spaces
• Sums of adjoint orbits and \(L^2\)-singular dichotomy for \(SU(m)\)
• \(L^2\)-singular dichotomy for orbital measures of classical compact Lie groups
• Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\)
• Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces
• Zonal measure algebras on isotropy irreducible homogeneous spaces
• The smoothness of convolutions of zonal measures on compact symmetric spaces
• On the product formula on noncompact Grassmannians
• SMOOTHNESS OF CONVOLUTION PRODUCTS OF ORBITAL MEASURES ON RANK ONE COMPACT SYMMETRIC SPACES
• CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES
• Convolution of $\chi$-orbital Measures on Complex Grassmannians
• CONVOLUTION OF ORBITAL MEASURES ON SYMMETRIC SPACES OF TYPE AND
• THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS
• The spherical Paley-Wiener theorem on the complex Grassmann manifolds SU(𝑝+𝑞)/S(U_{𝑝}×U_{𝑞})

This page was built for publication: The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces