Email this article Analytic complexity: Gauge pseudogroup, its orbits, and differential invariants
- Authors: Beloshapka V.K.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 298, No 1 (2017)
- Pages: 51-59
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174957
- DOI: https://doi.org/10.1134/S0081543817060049
- ID: 174957
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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.
About the authors
V. K. Beloshapka
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: vkb@strogino.ru
Russian Federation, Moscow, 119991
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