Now showing items 1-4 of 4

• #### A note on inner-outer factorization of wide matrix-valued functions ﻿

(Springer, 2018)
In this paper we expand some of the results of [8, 9, 10]. In fact, using the techniques of [8, 9, 10], we provide formulas for the full rank inner-outer factorization of a wide matrix-valued rational function G with H∞ ...
• #### A Toeplitz-like operator with rational symbol having poles on the unit circle. I. Fredholm properties ﻿

(Springer, 2018)
In this paper a definition is given for an unbounded Toeplitzlike operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if and only if the symbol has no zeroes on the ...
• #### A Toeplitz-like operator with rational symbol having poles on the unit circle. III. The adjoint ﻿

(Springer, 2019)
This paper contains a further analysis of the Toeplitz-like operators Tω on Hp with rational symbol ω having poles on the unit circle that were previously studied in Groenewald (Oper Theory Adv Appl 271:239–268, ...
• #### Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators ﻿

(Elsevier, 2017)
We provide new formulas for the Wiener–Hopf factorization indices of a rational matrix function which has neither poles nor zeros on the unit circle. In addition, we recover recent results on the Fredholm characteristics ...

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