On considère le problème de singularité mutuelle pour les mesures ayant des restrictions sur le spectre. On introduit les produits de Riesz pluriharmoniques sur la sphère complexe. On obtient des mesures singulières pluriharmoniques supportées par les ensembles de dimension de Hausdorff maximale.
The mutual singularity problem for measures with restrictions on the spectrum is studied. The -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.
@article{AIF_1998__48_3_699_0, author = {Doubtsov, Evgueni}, title = {Henkin measures, {Riesz} products and singular sets}, journal = {Annales de l'Institut Fourier}, pages = {699--728}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {48}, number = {3}, year = {1998}, doi = {10.5802/aif.1635}, zbl = {0913.31003}, mrnumber = {99k:32020}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1635/} }
TY - JOUR AU - Doubtsov, Evgueni TI - Henkin measures, Riesz products and singular sets JO - Annales de l'Institut Fourier PY - 1998 SP - 699 EP - 728 VL - 48 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1635/ DO - 10.5802/aif.1635 LA - en ID - AIF_1998__48_3_699_0 ER -
%0 Journal Article %A Doubtsov, Evgueni %T Henkin measures, Riesz products and singular sets %J Annales de l'Institut Fourier %D 1998 %P 699-728 %V 48 %N 3 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1635/ %R 10.5802/aif.1635 %G en %F AIF_1998__48_3_699_0
Doubtsov, Evgueni. Henkin measures, Riesz products and singular sets. Annales de l'Institut Fourier, Tome 48 (1998) no. 3, pp. 699-728. doi : 10.5802/aif.1635. https://aif.centre-mersenne.org/articles/10.5802/aif.1635/
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