Pluriharmonic definable functions in some O-minimal expansions of the real field

Автор: Berraho Mourad

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 4 т.23, 2021 года.

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In this paper, we first try to solve the following problem: If a pluriharmonic function f is definable in an arbitrary o-minimal expansion of the structure of the real field R:=(R,+,-,.,0,1,

O-minimal structures, pluriharmonic function, weierstrass division theorem

Короткий адрес: https://sciup.org/143177819

IDR: 143177819   |   DOI: 10.46698/w9805-4567-8091-g

Список литературы Pluriharmonic definable functions in some O-minimal expansions of the real field

  • Krantz, S. G. Handbook of Complex Variables, Boston, Birkhauser Boston Inc., 1999.
  • Gauthier, P. M. Several Complex Variables, March 14, 2006.
  • Speissegger, P. The Pfaffian Closure of an o-Minimal Structure, J. Reine Angew. Math., 1999, vol. 508, pp. 189-211. DOI: 10.1515/crll.1999.508.189
  • Kaiser, T. R-Analytic Functions, Archive for Mathematical Logic, 2016, vol. 55, no. 5-6, pp. 605-623. DOI: 10.1007/s00153-016-0483-x
  • Gunning, R. and Rossi, H. Analytic Functions of Several Complex Variables, Reprint of the 1965 original, AMSChelsea Publishing, Providence, RI, 2009.
  • Bianconi, R. Undefinability Results in o-Minimal Expansions of the Real Numbers, Annals of Pure and Applied Logic, 2005, vol. 134, no. 1, pp. 43-51. DOI: 10.1016/j.apal.2004.06.010
  • Ahlfors, L. V. Complex Analysis, 3 ed., McGraw-Hill, New York, 1979.
  • van den Dries, L. Tame Topology and o-Minimal Structures, London Mathematical Society Lecture Note Series, vol. 248, Cambridge University Press, Cambridge, 1998. DOI: 10.1017/CBO9780511525919
  • Miller, C. Expansions of the Real Field with Power Functions, Annals of Pure and Applied Logic, 1994, vol. 68, no. 1, pp. 79-94. DOI: 10.1016/0168-0072(94)90048-5
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