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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 4, Pages 19–25
DOI: https://doi.org/10.4213/faa3167 (Mi faa3167) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Point Equivalence of Functions on the $1$-Jet Space $J^1\mathbb{R}$

P. V. Bibikov

V. A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow
Full-text PDF (143 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa3167
Abstract: The action of the pseudogroup of point transformations on the set of smooth functions on the contact $1$-jet space $J^1\mathbb{R}$ is considered. Differential invariants of this action are found, and the problem of local point equivalence of regular smooth functions is solved.
Keywords: jet space, point pseudogroup, differential invariant, invariant derivation.
Received: 11.01.2013
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 4, Pages 250–255
DOI: https://doi.org/10.1007/s10688-014-0068-6
Bibliographic databases:
Document Type: Article
UDC: 514.763.34+514.763.8
Language: Russian
Citation: P. V. Bibikov, “Point Equivalence of Functions on the $1$-Jet Space $J^1\mathbb{R}$”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 19–25; Funct. Anal. Appl., 48:4 (2014), 250–255
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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