Some regularities and singularities appearing in the study of polynomials and operators
Équations différentielles et singularités. En l'honneur de J. M. Aroca, Astérisque, no. 323 (2009), pp. 123-160. 
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     title = {Some regularities and singularities appearing in the study of polynomials and operators},
     booktitle = {\'Equations diff\'erentielles et singularit\'es. En l'honneur de J. M. Aroca},
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     pages = {123--160},
     publisher = {Soci\'et\'e math\'ematique de France},
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Chaperon, Marc; López de Medrano, Santiago. Some regularities and singularities appearing in the study of polynomials and operators, dans Équations différentielles et singularités. En l'honneur de J. M. Aroca, Astérisque, no. 323 (2009), pp. 123-160. http://archive.numdam.org/item/AST_2009__323__123_0/

[1] V. I. Arnol'D - "Matrices depending on parameters", Uspehi Mat. Nauk 26 (1971), p. 101-114. | Zbl

[2] M. Chaperon - "Géométrie différentielle et singularités de systèmes dynamiques", Astérisque 138-139 (1986). | Numdam | Zbl

[3] M. Chaperon, Calcul différentiel et calcul intégral, 3e année, Dunod, corrected and expanded second printing, 2008.

[4] M. Chaperon & S. López De Medrano - "On the Hopf bifurcation for flows", C. R. Math. Acad. Sci. Paris 340 (2005), p. 833-838. | DOI | Zbl

[5] M. Chaperon, S. López De Medrano & J. L. Samaniego - "On sub-harmonic bifurcations", C. R. Math. Acad. Sci. Paris 340 (2005), p. 827-832. | DOI | Zbl

[6] I. M. Gel'Fand, M. M. Kapranov & A. V. Zelevinsky - Discriminants, resultants, and multidimensional determinants, Mathematics: Theory & Applications, Birkhäuser, 1994. | Zbl

[7] W. T. Gowers - "A solution to Banach's hyperplane problem", Bull. London Math. Soc. 26 (1994), p. 523-530. | DOI | Zbl

[8] T. Kato - Perturbation theory for linear operators, Corrected printing of the second edition, Springer, 1976, Grundlehren der Mathematischen Wissenschaften, Band 132. | Zbl

[9] P. Rosenbloom - "Perturbation of linear operators in Banach spaces", Arch. Math. (Basel) 6 (1955), p. 89-101. | DOI | Zbl

[10] W. Rudin - Functional analysis, McGraw-Hill Book Co., 1973. | Zbl

[11] Van Der Waerden - Modern algebra, in part a development from lectures by E. Artin and E. Noether, vol. 1, F. Ungar, 1949. | Zbl