Testing analyticity on circles

Research output: Contribution to journalArticlepeer-review


Consider a continuous one parameter family of circles in a complex plane that contains two circles lying in the exterior of one another. We prove that if a continuous function on the union of the circles extends holomorphically into each circle, then the function is holomorphic in the interior of the union of the circles.

Original languageEnglish (US)
Pages (from-to)785-790
Number of pages6
JournalAmerican Journal of Mathematics
Issue number3
StatePublished - Jun 2007

ASJC Scopus subject areas

  • Mathematics(all)


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