Uncertainty principle for the spherical mean operator
نویسندگان
چکیده
منابع مشابه
The spherical mean value operator with centers on a sphere
Let B represent the ball of radius ρ in Rn and S its boundary; consider the map M : C∞ 0 (B) → C∞(S × [0,∞)) where (Mf)(p, r) = 1 ωn−1 ∫ |θ|=1 f(p+ rθ) dθ represents the mean value of f on a sphere of radius r centered at p. We summarize and discuss the results concerning the injectivity of M, the characterization of the range of M, and the inversion of M. There is a close connection between me...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2014
ISSN: 1846-579X
DOI: 10.7153/jmi-08-35