Fekete Type Points for Ridge Function Interpolation and Hyperbolic Potential Theory
نویسندگان
چکیده
Suppose that f : C → C and g : C → C is defined by g(x) = f(t · x) where t ∈ C is fixed and t · x = t1x1 + · · · + tdxd. In the case of t = iω with ω ∈ R and f(z) = e, g(x) = e and hence we refer to t as a (generalized) “frequency”. Such an g is called a ridge function (or sometimes a planar wave). If we have n such frequencies t1, . . . , tn ∈ C then the span of the associated ridge functions Vn := span ( {f(t1 · x), f(t2 · x), . . . , f(tn · x)} )
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