Rational inner functions in the Schur-Agler class of the polydisk
- Autores: Greg Knese
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 55, Nº 2, 2011, págs. 343-357
- Idioma: inglés
- DOI: 10.5565/publmat_55211_04
- Enlaces
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Resumen
Every two-variable rational inner function on the bidisk has a spe- cial representation called a unitary transfer function realization.
It is well known and related to important ideas in operator theory that this does not extend to three or more variables on the poly- disk. We study the class of rational inner functions on the poly- disk which do possess a unitary realization (the Schur-Agler class) and investigate minimality in their representations. Schur-Agler class rational inner functions in three or more variables cannot be represented in a way that is as minimal as two variables might suggest.
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