Testing analyticity on circles

• Autores: Alexander Tumanov
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 129, Nº 3, 2007, págs. 785-790
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.