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Analyticity on circles for rational and real-analytic functions of two real variables

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Abstract

Conditions for rational and real-analytic functions of two real variables to be holomorphic are given in terms of holomorphic extendibility from families of circles.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Bar Ilan University, 52900, Ramat Gan, Israel

    Mark L. Agranovsky

  2. Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska, 19, Ljubljana, Slovenia

    Josip Globevnik

Authors
  1. Mark L. Agranovsky
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  2. Josip Globevnik
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Additional information

The first author was supported by the Israel Science Foundation, grant No. 279/02-1. The second author was partially supported by a grant from the Slovenian Ministry of Science and Technology. Both authors were supported by the Ministry of Science of Israel and the Ministry of Science and Technology of Slovenia, in the framework of the Program of Exchange by scientists.

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Agranovsky, M.L., Globevnik, J. Analyticity on circles for rational and real-analytic functions of two real variables. J. Anal. Math. 91, 31–65 (2003). https://doi.org/10.1007/BF02788781

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  • DOI: https://doi.org/10.1007/BF02788781

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