@article{AIHPC_1986__3_1_67_0, author = {Fliess, Michel}, title = {Vers une notion de d\'erivation fonctionnelle causale}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {67--76}, publisher = {Gauthier-Villars}, volume = {3}, number = {1}, year = {1986}, mrnumber = {837731}, zbl = {0602.93032}, language = {fr}, url = {http://archive.numdam.org/item/AIHPC_1986__3_1_67_0/} }
Fliess, Michel. Vers une notion de dérivation fonctionnelle causale. Annales de l'I.H.P. Analyse non linéaire, Volume 3 (1986) no. 1, pp. 67-76. http://archive.numdam.org/item/AIHPC_1986__3_1_67_0/
[1] The use of functionals in the analysis of non-linear physical systems, J. Electronics Control, t. 15, 1963, p. 567-615.
,[2] Les séries rationnelles et leurs langages, Masson, Paris, 1984. | MR | Zbl
et ,[3] Algèbre I (chap. 1 à 3), Hermann, Paris, 1970. | MR | Zbl
,[4] Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula, Ann. of Math., t. 65, 1957, p. 163-178. | MR | Zbl
,[5] Algebraic paths, J. Algebra, t. 10, 1968, p. 8-36. | MR | Zbl
,[6] Iterated path integrals, Bull. Amer. Math. Soc., t. 83, 1977, p. 831-879. | MR | Zbl
,[7] Creep and Relaxation of Nonlinear Visco-elastic Materials, North-Holland, Amsterdam, 1976. | MR | Zbl
, et ,[8] Fonctionnelles causales non linéaires et indéterminées non commutatives, Bull. Soc. Math. France, t. 109, 1981, p. 3-40. | Numdam | MR | Zbl
,[9] Réalisation locale des systèmes non linéaires, algèbres de Lie filtrées transitives et series génératrices non commutatives, Inventiones Math., t. 71, 1983, p. 521-537. | MR | Zbl
,[10] On the concept of derivatives and Taylor expansions for nonlinear input-output systems, Proc. 22nd IEEE Conf. Decision Control, p. 643-646, San Antonio, TX, 1983.
,[11] An algebraic approach to nonlinear functional expansions, IEEE Trans. Circuits Systems, t. 30, 1983, p. 554-570. | MR | Zbl
, et ,[12] Application of a new functional expansion to the cubic anharmonic oscillator, J. Math. Physics, t. 23, 1982, p. 495-502. | MR
et ,[13] Algèbres de Lie nilpotentes, formule de Baker-Campbell-Hausdorff et intégrales itérées de K. T. Chen, Séminaire de Probabilités XVI 1980/1981, J. Azéma et M. Yor eds., p. 257-267, Lect. Notes Math. 920, Springer-Verlag, Berlin, 1982. | Numdam | MR | Zbl
et ,[14] Die symbolische Exponentialformel in der Gruppentheorie, Leipziger Ber., t. 58, 1906, p. 19-48. | JFM
,[15] Combinatorial Group Theory, Interscience, New York, 1966.
, et ,[16] Actions of formal groups on formal schemes. Application to control theory and combinatorics, Séminaire M.-P. Malliavin, Paris, 1983. | Zbl
,[17] Lie elements and an algebra associated with shuffles, Ann. of Math., t. 68, 1958, p. 210-220. | MR | Zbl
,[18] An Introduction to Combinatorial Analysis, Wiley, New York, 1958. | MR | Zbl
,[19] Formulations of Classical and Quantum Dynamical Theory, Academic Press, New York, 1969. | MR | Zbl
,[20] A cyclic derivative in noncommutative algebra, J. Algebra, t. 64, 1980, p. 54-75. | MR | Zbl
, et ,[21] Nonlinear System Theory, The Johns Hopkins University Press, Baltimore, 1981. | MR | Zbl
,[22] Field Theory, t. 2, Polish Scientific Publishers, Varsovie, et, Iliffe Books, Londres, 1969.
,[23] The Volterra and Wiener Theories of Nonlinear Systems, Wiley, New York, 1980. | MR | Zbl
,[24] Die Anfänge der Funktionalanalysis und ihr Platz im Umwälzungsprozess der Mathematik um 1900, Arch. History Exact Sc., t. 26, 1982, p. 13-71. | MR | Zbl
,[25] Hopf Algebras, Benjamin, New York, 1968. | MR | Zbl
,[26] Leçons sur les fonctions de lignes, Gauthier-Villars, Paris, 1913.
,[27] Théorie générale des fonctionnelles, t. 1, Gauthier-Villars, Paris. 1936. | JFM | Zbl
et ,