Geodesic
Point Equivalence of Functions on the $1$-Jet Space $J^1\mathbb{R}$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 19-25

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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.
Mots-clés : jet space, point pseudogroup
Keywords: differential invariant, invariant derivation. 
@article{FAA_2014_48_4_a2,
     author = {P. V. Bibikov},
     title = {Point {Equivalence} of {Functions} on the $1${-Jet} {Space} $J^1\mathbb{R}$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {19--25},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a2/}
}
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P. V. Bibikov. Point Equivalence of Functions on the $1$-Jet Space $J^1\mathbb{R}$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 19-25. http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a2/