21 citations · 74 across the 26 of their papers we have counts for
10 papers · 1 filter
Linear systems, Hankel products and the sinh-Gordon equation
Gordon Blower, Ian Doust
Let be a linear system in continuous time with input and output space and state space . The scattering functions det…
On determinant expansions for Hankel operators
Gordon Blower, Yang Chen
Let be a semiclassical weight which is generic in Magnus's sense, and the corresponding sequence of orthogonal polynomials. The paper expresses the Christo…
Operational calculus and integral transforms for groups with finite propagation speed
Gordon Blower, Ian Doust
Let be the generator of a strongly continuous cosine family on a complex Banach space . The paper develops an operational calculus for integral…
Functional calculus on Venturi for Groups with Finite Propagation Speed
Gordon Blower, Ian Doust
Let be a complete Riemannian manifold with Ricci curvature bounded below and Laplace operator . The paper develops a functional calculus for the cosine family $\cos(…
On linear systems and tau functions associated with Lame's equation and Painleve's equation VI
Gordon Blower
Painleve's transcendental differential equation P_{VI} may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients wit…
Linear systems and determinantal random point fields
Gordon Blower
Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from differential equations with rational coefficients. More generally, this paper conside…