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Orbital Integrals and the Wave Operator for Isotropic Lorentz Spaces

  • Sigurdur Helgason
Chapter

Abstract

In Chapter II, §3 we discussed the problem of determining a function on a homogeneous space by means of its integrals over generalized spheres. We shall now solve this problem for the isotropic Lorentz spaces (Theorem 4.1 below). As we shall presently explain these spaces are the Lorentzian analogs of the two-point homogeneous spaces considered in Chapter III.

Keywords

Constant Curvature Wave Operator Isotropy Subgroup Riemannian Structure Isotropic Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Sigurdur Helgason 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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