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Matematicheskie Zametki, 2024, Volume 115, Issue 5, Pages 679–689
DOI: https://doi.org/10.4213/mzm14015 (Mi mzm14015) 		 
Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group

V. K. Beloshapkaab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.4213/mzm14015
Abstract: A differential condition for an analytic function of two variables to have one-dimensional stabilizer in the gauge pseudogroup is obtained. A multiplicative representation (by homogeneous functions) of such functions is given. The stabilizer theorem is improved, and two important examples are constructed. Questions are posed.
Keywords: superposition, analytic complexity, differential polynomial.
Received: 28.04.2023
Revised: 16.12.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 5, Pages 683–691
DOI: https://doi.org/10.1134/S0001434624050043
Bibliographic databases:
Document Type: Article
UDC: 517.55
MSC: 32A10
Language: Russian
Citation: V. K. Beloshapka, “Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group”, Mat. Zametki, 115:5 (2024), 679–689; Math. Notes, 115:5 (2024), 683–691
Citation in format AMSBIB
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\paper Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group
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\vol 115
\issue 5
\pages 679--689
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\crossref{https://doi.org/10.4213/mzm14015}
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\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 5
\pages 683--691
\crossref{https://doi.org/10.1134/S0001434624050043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85198500552}
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