On iterations of Green type integrals for matrix factorizations of the Laplace operator

Shlapunov, Alexandre A.

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 5 (1994), p. 103-116 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

Convergence of special Green integrals for matrix factorization of the Laplace operator in $R^{n}$ is proved. Explicit formulae for solutions of $\bar{\partial}$ -equation in strictly pseudo-convex domains in $C^{n}$ are obtained.

Si dimostra la convergenza di integrali di Green per fattorizzazione dell'operatore di Laplace. Si stabiliscono formule esplicite per soluzioni di equazioni di Cauchy-Riemann in domini strettamente pseudoconvessi di $C^{n}$ .

Publié le : 1994-06-01

MR 1292566 | Zbl 0873.32016

@article{RLIN_1994_9_5_2_103_0,
     author = {Alexandre A. Shlapunov},
     title = {On iterations of Green type integrals for matrix factorizations of the Laplace operator},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {5},
     year = {1994},
     pages = {103-116},
     zbl = {0873.32016},
     mrnumber = {1292566},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1994_9_5_2_103_0}
}

Shlapunov, Alexandre A. On iterations of Green type integrals for matrix factorizations of the Laplace operator. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 5 (1994) pp. 103-116. http://gdmltest.u-ga.fr/item/RLIN_1994_9_5_2_103_0/

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