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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 58–66
DOI: https://doi.org/10.1134/S0371968517030049 (Mi tm3814) 		 
Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants

V. K. Beloshapka

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968517030049
Abstract: All characteristics of analytic complexity of functions are invariant under a certain natural action (gauge pseudogroup $\mathcal G$). For the action of the pseudogroup $\mathcal G$, differential invariants are constructed and the equivalence problem is solved. Functions of two as well as of a greater number of variables are considered. Questions for further analysis are posed.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00592 а
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00592-a.
Received: January 24, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 51–59
DOI: https://doi.org/10.1134/S0081543817060049
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.923+514.74
Language: Russian
Citation: V. K. Beloshapka, “Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 58–66; Proc. Steklov Inst. Math., 298 (2017), 51–59
Citation in format AMSBIB
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\paper Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 58--66
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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