Geodesic
Approximation and Boundary Properties of Polyanalytic Functions
Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 262-271

Voir la notice de l'article provenant de la source Math-Net.Ru

We give a review of some recent results concerning the uniform approximation of functions by polyanalytic functions and polyanalytic polynomials on planar compact sets. We discuss the boundary properties of polyanalytic functions and their relationships with uniform approximation problems. Some problems of approximation by the solutions of homogeneous second-order elliptic equations with constant complex coefficients are also considered. 
@article{TRSPY_2001_235_a16,
     author = {K. Yu. Fedorovskiy},
     title = {Approximation and {Boundary} {Properties} of {Polyanalytic} {Functions}},
     journal = {Informatics and Automation},
     pages = {262--271},
     publisher = {mathdoc},
     volume = {235},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2001_235_a16/}
}
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K. Yu. Fedorovskiy. Approximation and Boundary Properties of Polyanalytic Functions. Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 262-271. http://geodesic.mathdoc.fr/item/TRSPY_2001_235_a16/