Analyticity on translates of a Jordan curve

• Autores: Josip Globevnik
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 11, 2007, págs. 5555-5565
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04264-x
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• Resumen

  • Let be a domain in which is symmetric with respect to the real axis and whose boundary is a real analytic simple closed curve. Translate vertically to get where is such that . We prove that if is a continuous function on such that for each , the function has a continuous extension to which is holomorphic on , then is holomorphic on