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UDC 517.53

© V. I. Biderman, 2011

A GENERALIZATION OF THE HARTOGS LEMMA

This article discusses the possibility of generalization of Hartogs lemma from the theory of subharmonic functions associated with the transition from point-by-point convergence of the collection of functions to uniform convergence.

Keywords: subharmonic functions, continuous function, summable function, point-by-point convergence, uniform convergence

References:

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  2. Ronkin L. I. Vvedenie v teoriyu tselykh funktsiy mnogikh peremennykh / L. I. Ronkin.– M.: Nauka, 1971. – 430 s.
  3. Mikhlin S. G. Lineynye uravneniya v chastnykh proizvodnykh / S. G.. Mikhlin. – M.: Vyssh. shkola, 1977. – 432 s.
  4. Akilov G. P. Elementarnoe vvedenie v teoriyu integrala / G. P. Akilov [i dr.] – L.: Izd-vo Leningr. un-ta, 1969. – 350 s.
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