Injectivity of the spherical means operator
نویسندگان
چکیده
منابع مشابه
Injectivity of the spherical means operator
Let S be a surface in R which divides the space into two connected components D1 and D2. Let f ∈ C0(R) be some real-valued compactly supported function with supp f ⊂ D1. Consider Mf := m(y, r) := ∫ Rn f(z)δ(|y − z| − r)dz, where δ is the delta-function, y ∈ S and r > 0 are arbitrary. A general, local at infinity, condition on S is given, under which M is injective, that is, Mf = 0 implies f = 0...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2002
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(02)02608-0