@article{VMUMM_2020_2_a9,
author = {I. A. Proskurnin},
title = {Normal forms of equivariant functions},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {51--55},
year = {2020},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a9/}
}
I. A. Proskurnin. Normal forms of equivariant functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 51-55. http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a9/
[1] Domitrz W., Manoel M., Rios P. de M., “The Wigner caustic on shell and singularities of odd functions”, Geometry and Phys., 71 (2013), 58–72 | DOI | MR | Zbl
[2] Astashov E. A., “Klassifikatsiya rostkov funktsii, ekvivariantno prostykh otnositelno gruppy poryadka 3”, Matem. zametki, 105:2 (2019), 163–178 | DOI | MR | Zbl
[3] Astashov E. A., “O klassifikatsii osobennostei, ekvivariantno prostykh otnositelno predstavlenii tsiklicheskikh grupp”, Vestn. Udmurt. un-ta. Mat. Mekh. Kompyut. nauki, 26:2 (2016), 155–159 | MR | Zbl
[4] Bochner S., “Compact groups of differentiable transformations”, Ann. Math., 46 (1945), 372–381 | DOI | MR | Zbl
[5] Vinberg E. B., Popov V. L., “Teoriya invariantov”, Algebraicheskaya geometriya 4, Itogi nauki i tekhniki. Ser. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 55, VINITI, M., 1989, 137–309
[6] Proskurnin I. A., “Ekvivariantnaya dostatochnost i ustoichivost”, Vestn. Mosk. un-ta. Matem. Mekhan., 2018, no. 4, 56–60 | MR | Zbl
[7] Arnold V. I., “Evolyutsiya volnovykh frontov i ekvivariantnaya lemma Morsa”, Izbrannoe-60, Fazis, M., 1997, 289–319
[8] Arnold V. I., “Normalnye formy funktsii v okrestnosti vyrozhdennykh kriticheskikh tochek”, Uspekhi matem. nauk, 29:2 (1974), 11–49 | MR | Zbl
[9] Arnold V. I., Varchenko A. N., Gusein-Zade S. M., Osobennosti differentsiruemykh otobrazhenii, v. 1, Nauka, M., 1982 | MR