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Pompeiu Problem on Product of Heisenberg Groups

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Abstract

In this paper, we address the Pompeiu problem for a product of Heisenberg groups. We consider this problem both for cases of a ball and for a bidisk. Furthermore, we address this problem for a product of the Heisenberg group with Euclidean space.

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Authors and Affiliations

  1. Department of Mathematics, Georgetown University, Washington, DC, 20057, USA

    Der-Chen Chang

  2. Department of Mathematics, Cameron University, Lawton, OK, 73505, USA

    Wayne Eby

Authors
  1. Der-Chen Chang
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  2. Wayne Eby
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Correspondence to Der-Chen Chang.

Additional information

Communicated by Alexander Vasiliev.

Dedicated to Professor Sze-Bi Hsu on the occasion of his 60th birthday.

D.-C. Chang was partially supported by the Air Force Office of Scientific Research SBIR Phase I grant #FA9550-09-C-0045, the Hong-Kong RGC grant #600607, and the competitive research grant #GX2236000 at Georgetown University.

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Chang, DC., Eby, W. Pompeiu Problem on Product of Heisenberg Groups. Complex Anal. Oper. Theory 4, 619–683 (2010). https://doi.org/10.1007/s11785-010-0049-6

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  • DOI: https://doi.org/10.1007/s11785-010-0049-6

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