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A representation of the solutions of the Darboux equation in odd-dimensional spaces
H. Rhee
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Source: Crossref
Published: Jan 1, 1970
DOI: 10.1090/s0002-9947-1970-0262647-0
Open original source ↗Source abstract
It is shown that determining a function from its averages over all spheres passing through the origin leads to an explicit representation of the even solutions of the Darboux equation in the exterior of the characteristic cones in terms of the hyperboloidal means of the boundary data on the cones.
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