On consière un système dans de type elliptique admettant le groupe d’invariance . Nous construisons une famille holomorphe de sous-représentations de ce groupe dans l’espace des solutions (de Floquet) telle que chaque solution qui est égale à à l’infini, peut être représentée sous la forme d’une intégrale dans cette famille.
An elliptic system in , which is invariant under the action of the group is considered. We construct a holomorphic family of finite-dimensional subrepresentations of the group in the space of solutions (Floquet solutions), such that any solution of the growth at infinity can be rewritten in the form of an integral over the family.
@article{AIF_1993__43_3_751_0, author = {Palamodov, Victor P.}, title = {Harmonic synthesis of solutions of elliptic equation with periodic coefficients}, journal = {Annales de l'Institut Fourier}, pages = {751--768}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {43}, number = {3}, year = {1993}, doi = {10.5802/aif.1354}, zbl = {0784.35023}, mrnumber = {95f:35037}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1354/} }
TY - JOUR AU - Palamodov, Victor P. TI - Harmonic synthesis of solutions of elliptic equation with periodic coefficients JO - Annales de l'Institut Fourier PY - 1993 SP - 751 EP - 768 VL - 43 IS - 3 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1354/ DO - 10.5802/aif.1354 LA - en ID - AIF_1993__43_3_751_0 ER -
%0 Journal Article %A Palamodov, Victor P. %T Harmonic synthesis of solutions of elliptic equation with periodic coefficients %J Annales de l'Institut Fourier %D 1993 %P 751-768 %V 43 %N 3 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.1354/ %R 10.5802/aif.1354 %G en %F AIF_1993__43_3_751_0
Palamodov, Victor P. Harmonic synthesis of solutions of elliptic equation with periodic coefficients. Annales de l'Institut Fourier, Tome 43 (1993) no. 3, pp. 751-768. doi : 10.5802/aif.1354. https://aif.centre-mersenne.org/articles/10.5802/aif.1354/
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