Nonuniform Sampling and Recovery of Multidimensional Bandlimited Functions by Gaussian Radial-Basis Functions
نویسندگان
چکیده
منابع مشابه
Nonuniform Sampling and Recovery of Multidimensional Bandlimited Functions by Gaussian Radial-basis Functions
Let (xn) ⊂ R d be a uniformly separated sequence which forms a Fourier frame for PWB2 , the space of square-integrable functions on R d whose Fourier transforms vanish outside the Euclidean unit ball B2. Given λ > 0 and f ∈ PWB2 , there is a unique sequence (aj) in l2 such that the function Iλ(f)(x) := X aje −λ‖x−xj‖ 2 2 , x∈R d , is continuous and square integrable on R, and satisfies the inte...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2010
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-010-9141-6