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Tougeron, Jean-Claude

Idéaux de fonctions différentiables. I. (French) Zbl 0188.45102

Ann. Inst. Fourier 18, No. 1, 177-240 (1968).
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Cited in 3 Reviews
Cited in 53 Documents

MSC:

46-XX Functional analysis

Keywords:

functional analysis
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\textit{J.-C. Tougeron}, Ann. Inst. Fourier 18, No. 1, 177--240 (1968; Zbl 0188.45102)
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References:

[1] N. BOURBAKI, Algèbre commutative, chapitre 1, 2, 3, 4.
[2] L. HORMANDER, On the division of distributions by polynomials, Arkiv för Mathematik 3 (1958) p. 555-568.0131.1190323 #A2044 · Zbl 0131.11903
[3] N. KUIPER, Cr-functions near non degenerate critical points, Notes polycopiées Uni. of Warwick (1966) - et résultats non publiés.
[4] N. LEVINSON, A polynomial canonical form for certain analytic functions of two variables at a critical point, Bull. Ann. Math. Soc, 66, (1960), p. 366.0192.1820226 #2635 · Zbl 0192.18202
[5] S. LOJASIEWICZ, Sur le problème de la division, Studia Math 18 (1959) p. 87-136.0115.1020321 #5893 · Zbl 0115.10203
[6] B. MALGRANGE, Ideals of differentiable functions, Oxford Uni. Press (1966). · Zbl 0177.17902
[7] B. MALGRANGE, Sur les fonctions différentiables et les ensembles analytiques, Bull. Soc. Math. France 91, (1963), p, 113 à 127.0113.0630227 #2648BSMF_1963__91__113_0 · Zbl 0113.06302
[8] J. MATHER, On the preparation theorem of Malgrange ; Structural stability of mappings - notes miméographiées, Princeton 1966.
[9] J.P. SERRE, Algèbre locale, Multiplicités, Lecture Notes in Mathematics, 11, (1965).0142.28603 · Zbl 0142.28603
[10] R. THOM, Un lemme sur les applications différentiables, Bol. Soc. Mat Mexicana, (1956) p. 59-71.0075.3220121 #910 · Zbl 0075.32201
[11] R. THOM, Local Topological properties of differentiable mappings, Bombay colloquium on differential analysis, Oxford Uni. Press (1964).0151.3200233 #3307 · Zbl 0151.32002
[12] J. Cl. TOUGERON, Une généralisation du théorème des fonctions implicites, Equivalence des idéaux de fonctions différentiables, C.R. Acad. Sc. Paris, t. 262, p. 487-489 et p. 563-565.0136.03905 · Zbl 0136.03905
[13] [13] , Local properties of analytic varieties. · Zbl 0129.39402
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