Cocycles and local product decomposition

Junichi Tanaka*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


As an application of cocycles, we establish a relation between the classical Hardy spaces on the real hne R and simply invariant subspaces on a quotient of the Bohr group. When this result is specialized suitably, it yields the well-known results concerning the elements of invariant subspaces. We also study, by using Gamelin’s representation theorem, unitary functions which are the values of cocycles.

Original languageEnglish
Pages (from-to)565-572
Number of pages8
JournalTransactions of the American Mathematical Society
Issue number2
Publication statusPublished - 1983
Externally publishedYes


  • Cocycles
  • Compact groups with ordered duals
  • Simply invariant subspaces

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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