Nonstationary Analogs of the Herglotz Representation Theorem: The Discrete Case

D. Alpay, A. Dijksma, Y. Peretz

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

For upper triangular operators with nonnegative real part, we derive generalized Herglotz representation theorems in which the main operator is coisometric, isometric, or unitary. The proofs are based on the representation theorems for upper triangular contractions considered earlier by D. Alpay and Y. Peretz.

Original languageEnglish
Pages (from-to)85-129
Number of pages45
JournalJournal of Functional Analysis
Volume166
Issue number1
DOIs
StatePublished - 1 Aug 1999

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