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math.FA2015
Modified Radon transform inversion using moments in
Hayoung Choi, Farhad Jafari, Robert Mnatsakanov
A modified Radon transform for noisy data is introduced and its inversion formula is established. The problem of recovering the multivariate probability density function from t…
math.FA2015
Positive definite Hankel matrix completions and Hamburger moment completions
Hayoung Choi, Farhad Jafari
In this paper we give solutions to Hamburger moment problems with missing entries. The problem of completing partial positive sequences is considered. The main result is a characte…
math.FA2015
Ellipsoidal cones in normed vector spaces
Farhad Jafari, Tyrrell B. McAllister
We give two characterizations of cones over ellipsoids in real normed vector spaces. Let be a closed convex cone with nonempty interior such that has a bounded section of c…