Minimal h2interpolation in the carathéodoryc lass

E. Beller, B. Pinchuk

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


For (c1,…, cn) in C, let C(c1,…, cn) denote the class of functions Formula Presented which are analytic and satisfy Re f(z) > 0 in the unit disc. The unique function of least H2norm in C(c1,…, cn) is explicitly determined.

Original languageEnglish
Pages (from-to)289-293
Number of pages5
JournalProceedings of the American Mathematical Society
Issue number2
StatePublished - Nov 1978


  • Coefficient body
  • H
  • Minimal interpolation
  • Multiplier rule
  • Positive real part
  • Riesz-herglotz representation


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