Recent work shows that quantum signal processing (QSP) and its multi-qubit lifted version,
quantum singular value transformation (QSVT), unify and improve the presentation of most …

Abstract The Fejér-Riesz theorem has inspired numerous generalizations in one and
several variables, and for matrix-and operator-valued functions. This paper is a survey of …

We prove a detailed sums of squares formula for two-variable polynomials with no zeros on
the bidisk D 2, extending previous such formulas by Cole and Wermer and by Geronimo and …

In this article we solve four special cases of the truncated Hamburger moment problem
(THMP) of degree 2 k with one or two missing moments in the sequence. As corollaries we …

We consider bivariate polynomials orthogonal on the bicircle with respect to a positive linear
functional. The lexicographical and reverse lexicographical orderings are used to order the …

In this paper we state the “oblique extension principle” as a problem of semi-definite
programming. Using this optimization technique we show that the existence of a tight frame …

In this note we provide a general expression for multivariable stable polynomials that
reduces to Christoffel-Darboux type formulas. As a result we obtain new proofs for existing …

Abstract Let {X m, n:(m, n)∈ Z 2} be a stationary Gaussian random field. Consider the
problem of predicting X 0, 0 based on the quarterplane Q={(m, n): m≥ 0, n≥ 0}∖{(0, 0)}, but …

Suppose Q (x) is a real n× n regular symmetric positive semidefinite matrix polynomial. Then
it can be factored as Q (x)= G (x) TG (x), where G (x) is a real n× n matrix polynomial with …

Rank-deficient spectral factorization and wavelets completion problem Page 1 International
Journal of Wavelets, Multiresolution and Information Processing Vol. 13, No. 3 (2015) 1550013 …