Injectivity sets for spherical means on \(\mathbb{R}^n\) and on symmetric spaces

DOI10.1007/BF02511160zbMath0952.43001WikidataQ122897531 ScholiaQ122897531MaRDI QIDQ1976473

Rama Rawat, Alladi Sitaram

Publication date: 10 May 2000

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59647

zbMATH Keywords

spherical meansRadon measuremeasure of at most exponential growth

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (10)

Some questions on integral geometry on noncompact symmetric spaces of higher rank ⋮ On some consistent tests of mutual independence among several random vectors of arbitrary dimensions ⋮ Injectivity sets for spherical means on the Heisenberg group ⋮ Analogues of the Liouville theorem for solutions of the twisted convolution equation ⋮ Heisenberg uniqueness pairs for some algebraic curves in the plane ⋮ Coxeter system of lines and planes are sets of injectivity for the twisted spherical means ⋮ Approximation by K-finite functions in \(L^p\) spaces ⋮ On the injectivity of twisted spherical means of \(\mathbb{C}^n\) ⋮ Non-harmonic cones are sets of injectivity for the twisted spherical means on ℂⁿ ⋮ Injectivity sets for spherical means on the Heisenberg group

Cites Work

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• Analytic vectors
• Fourier analysis and determining sets for Radon measures on \({\mathbb{R}}^ n\)
• Singularity theory and an introduction to catastrophe theory
• Approximation by spherical waves in \(L^p\)-spaces
• Injectivity sets for the Radon transform over circles and complete systems of radial functions
• Offbeat Integral Geometry
• Representations of a Semisimple Lie Group on a Banach Space. I

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