Distant future and analytic measures

Junichi Tanaka

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Using a representation of analytic measures in terms of a flow built under a function, it is shown that a positive measure is the total variation measure of an analytic measure if and only if the distant future is the zero subspace. This settles a problem posed by Forelli in connection with his generalization of F. and M. Riesz theorems. We also provide another version of Helson’s existence theorem.

Original languageEnglish
Pages (from-to)799-814
Number of pages16
JournalTransactions of the American Mathematical Society
Volume296
Issue number2
DOIs
Publication statusPublished - 1986
Externally publishedYes

Fingerprint

Total Variation
Existence Theorem
Subspace
If and only if
Zero
Theorem
Generalization

Keywords

  • Analytic measures
  • Distant future
  • Quasi-invariant measures

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Distant future and analytic measures. / Tanaka, Junichi.

In: Transactions of the American Mathematical Society, Vol. 296, No. 2, 1986, p. 799-814.

Research output: Contribution to journalArticle

Tanaka, Junichi. / Distant future and analytic measures. In: Transactions of the American Mathematical Society. 1986 ; Vol. 296, No. 2. pp. 799-814.
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