Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane

Autor: Frazho, A.E., Ran, A.C.M., Bastos, M. Amélia, Castro, Luís, Karlovich, Alexei Yu.
Přispěvatelé: Bastos, M. Amélia, Castro, Luís, Karlovich, Alexei Yu., Mathematics
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Frazho, A E & Ran, A C M 2021, Inner Outer Factorization of Wide Rational Matrix Valued Functions on the Half Plane . in M A Bastos, L Castro & A Y Karlovich (eds), Operator Theory, Functional Analysis and Applications . Operator Theory: Advances and Applications, vol. 282, Springer Science and Business Media Deutschland GmbH, pp. 219-233 . https://doi.org/10.1007/978-3-030-51945-2_11
Operator Theory, Functional Analysis and Applications ISBN: 9783030519445
Operator Theory, Functional Analysis and Applications, 219-233
STARTPAGE=219;ENDPAGE=233;TITLE=Operator Theory, Functional Analysis and Applications
ISSN: 0255-0156
DOI: 10.1007/978-3-030-51945-2_11
Popis: © 2021, Springer Nature Switzerland AG.The main purpose of this note is to use operator methods to solve a rational inner-outer factorization problem for wide functions. It is believed that this will provide valuable insight into the inner-outer factorization problem. Our approach involves Wiener–Hopf operators, Hankel operators and invariant subspaces for the backward shift. It should be emphasized that the formulas for the inner and outer factor are derived in a computational manner.
Databáze: OpenAIRE