A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals
Part of the Progress in Mathematics book series (PM, volume 5)
The inversion formulas in Theorems 3.1, 3.5, 3.6 and 6.2, Ch. I suggest the general problem of determining a function on a manifold by means of its integrals over certain submanifolds.
KeywordsInvariant Measure Homogeneous Space Haar Measure Inversion Formula Isotropy Subgroup
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.
Unable to display preview. Download preview PDF.
- Gelfand, I.M., Graev, M.I., and Vilenkin, N. Generalized Functions, Vol. 5: Integral Geometry and Representation Theory, Academic Press, New York, 1966.Google Scholar
- Gelfand, I.M., Graev, M.I., and Shapiro, S.J. Differential forms and integral geometry, Funct. Anal. Appl. 3 (1969), 24–40.Google Scholar
- Michel, L. Sur certains tenseurs symétriques des projectifs réels, J. Math. Pures Appl. 51 (1972), 275–293.Google Scholar
© Sigurdur Helgason 1999