Geometric Analysis on Symmetric Spaces

2008/12/02 by Sigurđur Helgason · 4 citations
Mathematics · #Mathematical Analysis and Transform Methods #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Computer science #Mathematics

paper · doi:10.1090/surv/039

openalex publication_date 2008/12/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A duality in integral geometry A duality for symmetric spaces The fourier transform on a symmetric space The Radon transform on X and on X_o. Range questions Differential equations on symmetric spaces Eigenspace representations Solutions to exercises Bibliography Symbols frequently used Index.

Citations

• Self adjoint function spaces on Riemannian symmetric manifolds

Cited by

• A Survey on Huygens’ Principle
• Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds
• Radon inversion formulas over local fields
• Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a point
• Partition functions and double-trace deformations in AdS/CFT
• Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept
• Radon transform [wikipedia]

Related

• The Abel, Fourier and Radon transforms on symmetric spaces
• Notes on symmetric spaces
• The Radon transform and its dual for limits of symmetric spaces
• Radon transformation on reductive symmetric spaces: support theorems
• An introduction to symmetric spaces