David P. Kimsey

activity

20142023

most citedThe spectral theorem for quaternionic unbounded normal operators based on the S-spectrum

5 citations · 9 across the 6 of their papers we have counts for

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math.CV2015

Wiener algebra for the quaternions

Daniel Alpay, Fabrizio Colombo, David P. Kimsey +1

We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-Lévy type theorem and a factoriz…

math.CV2014

Boundary interpolation for slice hyperholomorphic Schur functions

K. Abu-Ghanem, D. Alpay, F. Colombo +2

A boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Given nonnegative real numbers $κ_{1}, \dots, κ_{N}$ , quaternions $p_{1}, \dots, p_{N}$ …