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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 4, Pages 843–854 (Mi smj1109)  
This article is cited in 1 scientific paper (total in 1 paper)

$L_2$-estimates and existence theorems for generalized analytic functions in several variables

Z. G. Medzhidov

Daghestan State University
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Abstract: We consider the generalized Cauchy–Riemann system with nonlinear terms in an arbitrary domain of the complex space. Under some natural conditions on the coefficients and compatibility conditions, we prove solvability of this system in the space of locally square integrable functions.
Keywords: generalized analytic function, Cauchy–Riemann system, integrability, compatibility, foliation, Hörmander space.
Received: 26.04.2001
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 4, Pages 699–708
DOI: https://doi.org/10.1023/B:SIMJ.0000035833.36497.fb
Bibliographic databases:
UDC: 517.956.2
Language: Russian
Citation: Z. G. Medzhidov, “$L_2$-estimates and existence theorems for generalized analytic functions in several variables”, Sibirsk. Mat. Zh., 45:4 (2004), 843–854; Siberian Math. J., 45:4 (2004), 699–708
Citation in format AMSBIB
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\pages 843--854
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
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\pages 699--708
\crossref{https://doi.org/10.1023/B:SIMJ.0000035833.36497.fb}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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