Spherical functions and integral geometry

DOI10.1007/BF02771650zbMath0288.53049MaRDI QIDQ1846670

Isaac Tzkoni, Hillel Furstenberg

Publication date: 1971

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Integral geometry (53C65) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (17)

Barycenter and maximum likelihood ⋮ On the average volume of sections of convex bodies ⋮ Norm estimates for \(k\)-plane transforms and geometric inequalities ⋮ Small-ball probabilities for the volume of random convex sets ⋮ New affine inequalities and projection mean ellipsoids ⋮ Estimates for the affine and dual affine quermassintegrals of convex bodies ⋮ Orlicz mixed affine quermassintegrals ⋮ Surface area and other measures of ellipsoids ⋮ Isoperimetric inequalities and identities for \(k\)-dimensional cross-sections of convex bodies ⋮ Unnamed Item ⋮ Random affine simplexes ⋮ Bounding marginal densities via affine isoperimetry ⋮ Inequalities for Hadwiger's harmonic quermassintegrals ⋮ A formula of Furstenberg-Tzkoni type ⋮ A simple derivation of a formula of Furstenberg and Tzkoni ⋮ Affine isoperimetric inequalities for intersection mean ellipsoids ⋮ On some ellipsoid formulas of Busemann, Furstenberg and Tzkoni, Guggenheimer, and Petty

Cites Work

• Unnamed Item
• Translation-invariant cones of functions on semi-simple lie groups
• Noncommuting Random Products

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