JAT
2007
13 years 12 months ago
2007
Rakhmanov’s theorem for orthogonal polynomials on the unit circle gives a sufficient condition on the orthogonality measure for orthogonal polynomials on the unit circle, in orde...
JAT
2007
14 years 10 days ago
2007
Denote by xn,k(α, β), k = 1, . . . , n, the zeros of the Jacobi polynomial P (α,β) n (x). It is well known that xn,k(α, β) are increasing functions of β and decreasing func...
JAT
2007
14 years 10 days ago
2007
We prove sharp bounds for the expectation of the supremum of the Gaussian process indexed by the intersection of Bn p with ρBn q for 1 ≤ p, q ≤ ∞ and ρ > 0, and by the ...
JAT
2007
14 years 10 days ago
2007
JAT
2007
14 years 10 days 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
14 years 10 days ago
2007
We investigate the measures of frequency bands of scaling functions and wavelets, and solve an open problem. Furthermore, we give conditions for which the measures of frequency ba...
JAT
2007
14 years 10 days ago
2007
JAT
2007
14 years 10 days 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
14 years 10 days 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+ × ...
JAT
2007
14 years 10 days 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...