Newtons levitation theorem and photoacoustic integral geometry
نویسنده
چکیده
Two subjects are addressed. A series of mass distributions is explicitly presented, that generate zero gravitation eld in an open set in E. Second, an explicit reconstruction formula in E from data of spherical means with centers in an algebraic set. For both constructions, the same geometric method is applied based on properties of a special class of polynomials. Key words oscillatory set hyperbolic polynomial separator spherical mean transform Mathematical Subject Classi cation (2010) 53C65 70S99 65R10 92C55
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