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JAT
2007
13 years 4 months ago
2007
We present a generalization of multiple orthogonal polynomials of type I and type II, which we call multiple orthogonal polynomials of mixed type. Some basic properties are formul...
JAT
2007
13 years 4 months ago
2007
Quantitative bounds on rates of approximation by linear combinations of Heaviside plane waves are obtained for sufficiently differentiable functions f which vanish rapidly enough...
JAT
2007
13 years 4 months ago
2007
Let A ⊂ L2(R) be at most countable, and p, q ∈ N. We characterize various frame-properties for Gabor systems of the form G(1, p/q,A) = {e2 imxg(x − np/q) : m, n ∈ Z, g ∈...
JAT
2007
13 years 4 months ago
2007
We know that not all minimal projections in Lp (1 < p < ∞) are unique (see [39]). The aim of this paper is examine the connection of the Chalmers-Metcalf operator (introduc...
JAT
2007
13 years 4 months ago
2007
An irregular wavelet frame has the form W(ψ, Λ) = {a−1/2 ψ(x a − b)}(a,b)∈Λ, where ψ ∈ L2 (R) and Λ is an arbitrary sequence of points in the affine group A = R+ × ...