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Analytic Functions Błażejewko 1982 pp 328–331Cite as

Un lien entre l'équation de l'élasticité et l'analyse complexe

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1039))

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Il est possible de factoriser le bilaplacien Δ2 à travers le système d'équations bien connu en analyse complexe: ∂2u/∂ zi∂j = αij en utilisant non pas le calcul différentiel extérieur mais les algèbres de Clifford.

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Références

  1. BERNDTSSON, B.: Integral formulas and zeros of bounded holomorphic functions, Université de Göteborg, Suède, 1979.

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  2. GARABEDIAN, P. R.: A Green's function in the theory of functions of several complex variables, Ann. of Math. 55, no 1 (1952).

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  3. GAVEAU, B. et P. MALLIAVIN: Courbure des surfaces de niveau des fonctions holomorphes bornées dans la boule, C.R.A.S. Paris 293 (1981), 135–138.

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  4. HENKIN, G.: Solutions with estimates of the H. Lewy and Poincaré-Lelong equations, D.A.N. SSSR 225 (1975), 771–774.

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  5. LAVILLE, G.: Résolution du ∂∂ avec croissance dans des ouverts pseudo-convexes étoilés, C.R.A.S. Paris 274 (1972), 554–556.

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  6. LELONG, P.: Fonctions entières et fonctions plurisousharmoniques, J. Analyse Math. 12 (1964), 365–407.

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  7. SKODA, H.: Valeurs au bord pour les solutions de l'opérateur d″ et caractérisation des zéros, Bull. Soc. Math. France 104 (1976), 225–299

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Author information

Authors and Affiliations

  1. Mathématiques, L. A. 213 du C. N. R. S., Université Pierre et Marie Curie, 4, Place Jussieu, F-75230, Paris Cedex 05, France

    Guy Laville

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  1. Guy Laville
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Editors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136, Łódź, Poland

    Julian Ławrynowicz

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© 1983 Springer-Verlag Berlin Heidelberg

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Laville, G. (1983). Un lien entre l'équation de l'élasticité et l'analyse complexe. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073374

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  • DOI: https://doi.org/10.1007/BFb0073374

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

  • eBook Packages: Springer Book Archive

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