Analytic complexity: Gauge pseudogroup, its orbits, and differential invariants

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Abstract

All characteristics of analytic complexity of functions are invariant under a certain natural action (gauge pseudogroup G). For the action of the pseudogroup 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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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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