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Voronin, S. M.

Analytic classification of pairs of involutions and its applications. (English. Russian original) Zbl 0521.30010

Funct. Anal. Appl. 16, 94-100 (1982); translation from Funkts. Anal. Prilozh. 16, No. 2, 21-29 (1982).
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Cited in 20 Documents

MSC:

30C35 General theory of conformal mappings

Keywords:

analytic classification; involutions; decomposition of symmetry; germs of conformal mappings; envelope of planar curve family

Citations:

Zbl 0463.30010
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Full Text: DOI

References:

[1] S. M. Voronin, ”Analytic classification of germs of conformal maps (C, 0) ? (C, 0) with linear part the identity,” Funkts. Anal.,15, No. 1, 1-17 (1981). · Zbl 0463.30010 · doi:10.1007/BF01082373
[2] V. I. Arnol’d, ”Theory of envelopes,” Usp. Mat. Nauk,31, No. 3, 249 (1976).
[3] M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities [Russian translation], Mir, Moscow (1977). · Zbl 0429.58004
[4] L. H?rmander, Introduction to the Theory of Functions of Several Complex Variables [Russian translation], Mir, Moscow (1968).
[5] V. I. Arnol’d, ”Wave front evolution and equivariant Morse lemma,” Commun. Pure Appl. Math.,29, 557-581 (1976). · Zbl 0343.58003 · doi:10.1002/cpa.3160290603
[6] S. Bochner, ”Compact groups of differentiable transformations,” Ann. Math., Ser. 2,46, No. 3, 372-381 (1945). · Zbl 0063.00487 · doi:10.2307/1969157
[7] J.-P. Dufour, ”Bi-stabilite des fronces,” Analyse Differ. Univ. Montpellier, France (1977).
[8] J.-P. Dufour, ”Sur la stabilite des diagrames d’applications differentiables,” Ann. Scient. Ecole Norm. Super.,10, No. 2, 153-174 (1977).
[9] J.-P. Dufour, ”Diagrammes d’applications differentiables,” These. Univ. Montpellier, France (1979).
[10] M. A. Teixeira, ”Generic singularities of discontinuous vector fields,” Univ. Estadual de Campinas, Brasil, Rel. Int., No. 139, April, 1979.
[11] M. A. Teixeira, ”Local and simultaneous structural stability of certain diffeomorphisms,” Univ. Estadual de Campinas, Brasil, Rel. Int., No. 164, November, 1978.
[12] A. A. Shcherbakov, ”Germs of mappings, analytically not equivalent to their normal form,” Funkts. Anal.,16, No. 2, 94-95 (1982). · Zbl 0507.30013
[13] J. Ecalle, ”Theorie iterative. Introduction a la theorie des invariants holomorphes,” J. Math. Pures App.,54, 183-258 (1975). · Zbl 0285.26010
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