Rubin's range characterization conjecture for the spherical mean transform
Rubin's range characterization conjecture. A function g∈Cc∞(Sn−1×(0,2))g\in C_c^\infty(\mathbb{S}^{n-1}\times(0,2))g∈Cc∞(Sn−1×(0,2)) belongs to the range of the operator f↦Mff\mapsto\mathcal{M}ff↦Mf if and only if
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