Characterization of polyanalytic functions by meromorphic extensions into chains of circles

Details Characterization of polyanalytic functions by meromorphic extensions into chains of circles Characterization of polyanalytic functions by meromorphic extensions into chains of circles

2009-10-19

arxiv.org/abs/0910.3578v4

Journal d'Analyse Mathematique, v.113, 1 (1 January 2011), pp. 305-329

Mathematics

Differential Geometry

Scientific paper

One-parameter smooth families of circles in the complex plane with the
following property are described: a function is polyanalytic if and only if it
has meromorphic extension inside any circle from the family, with the only
singularity-a pole at the center.

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