We update the state of the subject approximately 20 years after the publication of T. Bloom, L. Bos, C. Christensen, and N. Levenberg, Polynomial interpolation of holomorphic functions in ℂ and ℂⁿ, Rocky Mountain J. Math. 22 (1992), 441-470. This report is mostly a survey, with a sprinkling of assorted new results throughout.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-5, author = {T. Bloom and L. P. Bos and J.-P. Calvi and N. Levenberg}, title = {Polynomial interpolation and approximation in $$\mathbb{C}$^d$ }, journal = {Annales Polonici Mathematici}, volume = {105}, year = {2012}, pages = {53-81}, zbl = {1254.32045}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-5} }
T. Bloom; L. P. Bos; J.-P. Calvi; N. Levenberg. Polynomial interpolation and approximation in $ℂ^d$ . Annales Polonici Mathematici, Tome 105 (2012) pp. 53-81. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-5/