2 papers
math.FA2026
The fundamental equations for inversion of operator pencils on Banach space
Amie Albrecht, Phil Howlett, Charles Pearce
We prove that the resolvent of a linear operator pencil is analytic on an open annulus if and only if the coefficients of the Laurent series satisfy a system of fundamental equatio…
math.FA2026
The Granger-Johansen representation theorem for integrated time series on Banach space
Phil Howlett, Brendan Beare, Massimo Franchi +2
We prove an extended Granger-Johansen representation theorem (GJRT) for finite or infinite order integrated autoregressive time series on Banach space. We assume only that the reso…