2 citations · 2 across the 6 of their papers we have counts for
6 papers
Function spaces obeying a time-varying bandlimit
R. T. W. Martin, A. Kempf
Motivated by applications to signal processing and mathematical physics, recent work on the concept of time-varying bandwidth has produced a class of function spaces which generali…
On a theorem of Livsic
A. Aleman, R. T. W. Martin, W. T. Ross
The theory of symmetric, non-selfadjoint operators has several deep applications to the complex function theory of certain reproducing kernel Hilbert spaces of analytic functions,…
Unitary perturbations of compressed N-dimensional shifts
R. T. W. Martin
Given a purely contractive matrix-valued analytic function on the unit disc , we study the $\mc{U} (n)$-parameter family of unitary perturbations of the operator …
Characterization of the unbounded bicommutant of C_0 (N) contractions
R. T. W. Martin
Recent results have shown that any closed operator commuting with the backwards shift restricted to , where is an inner function, can be…
Representation of simple symmetric operators with deficiency indices (1,1) in de Branges space
R. T. W. Martin
Recently it has been shown that any regular simple symmetric operator with deficiency indices (1,1) is unitarily equivalent to the operator of multiplication in a reproducing kerne…
Inner functions and de Branges functions
R. T. W. Martin
A necessary and sufficient condition for an inner function F in the upper half-plane (UHP) to satisfy F = E*/E where E is a de Branges function is presented. Since F_E =E^*/E is an…