We construct a measure such that if {pn(z)} is the sequence of orthogonal polynomials relative to that measure, then the Riemann Hypothesis with simple zeros is true if and only if...
We investigate polynomials satisfying a three-term recurrence relation of the form Bn(x) = (x - n)Bn-1(x) - nxBn-2(x), with positive recurrence coefficients n+1, n (n = 1, 2, . . ...
A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient ...
We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogona...
Abstract: Inner products of the type f, g S = f, g ψ0 + f , g ψ1 , where one of the measures ψ0 or ψ1 is the measure associated with the Jacobi polynomials, are usually referre...
Eliana X. L. de Andrade, Cleonice F. Bracciali, La...