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A generalization of Forelli’s theorem

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The purpose of this paper is to present a generalization of Forelli’s theorem. In particular, we prove an all dimensional version of the two-dimensional theorem of Chirka (Kompleks. Anal. i Prilozh, 232–240, 2006) of 2005.

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References

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Acknowledgments

Research of the second named author is supported in part by the Grant 4.0006570 (2011) of The Basic Science Research Institute of Pohang University of Science and Technology, The Republic of Korea. The third named author would like to thank the Department of Mathematics of POSTECH for its hospitality during his visit of July 2011, during which the crucial part of this research began. This research was also supported in part by NRF Grant 2011-0030044 (The SRC-GAIA) of The Ministry of Education, The Republic of Korea.

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Authors and Affiliations

  1. Department of Mathematics, Pusan National University, Busan, 609-735, Republic of Korea

    Jae-Cheon Joo

  2. Department of Mathematics and The SRC-GAIA, Pohang University of Science and Technology, Pohang, 790-784, Republic of Korea

    Kang-Tae Kim

  3. School of Science and Technology, University of New England, Armidale, NSW, 2351, Australia

    Gerd Schmalz

Authors
  1. Jae-Cheon Joo
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  2. Kang-Tae Kim
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  3. Gerd Schmalz
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Correspondence to Kang-Tae Kim.

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Joo, JC., Kim, KT. & Schmalz, G. A generalization of Forelli’s theorem. Math. Ann. 355, 1171–1176 (2013). https://doi.org/10.1007/s00208-012-0822-0

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  • DOI: https://doi.org/10.1007/s00208-012-0822-0

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