Geodesic
Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants
Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 58-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Analytic {Complexity:} {Gauge} {Pseudogroup,} {Its} {Orbits,} and {Differential} {Invariants}},
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V. K. Beloshapka. Analytic Complexity: Gauge Pseudogroup, Its Orbits, and Differential Invariants. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 58-66. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a3/

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