R. Bates

most citedQuadratic Hyperbolicity Preservers & Multiplier Sequences

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2014★ 2 cited

Operator Diagonalizations of Multiplier Sequences

Robert D. Bates

We consider hyperbolicity preserving operators with respect to a new linear operator representation on $R [x]$ . In essence, we demonstrate that every Hermite and Laguerre m…

math.CV2014

Diagonal Differential Operators

Robert D. Bates

We explore differential operators, $T$ , that diagonalize on a simple basis, ${B_{n} (x)}_{n = 0}^{\infty}$ , with respect to some sequence of real numbers, ${a_{n}}_{n = 0}^{\infty}$ , and se…

math.CV2013★ 3 cited

Quadratic Hyperbolicity Preservers & Multiplier Sequences

R. Bates, R. Yoshida

It is known (see \cite[Brändén, Lemma 2.7]{B10}) that a necessary condition for $T := \sum Q_{k} (x) D^{k}$ to be hyperbolicity preserving is that $Q_{k} (x)$ and $Q_{k - 1} (x)$ have interlaci…