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How to define analytic functions on metric mea- sure spaces

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DMV-PTM Mathematical Meeting 17–20.09.2014, Pozna´n

How to define analytic functions on metric mea- sure spaces

Grzegorz Lysik

Institute of Mathematica PAN & Jan Kochanowski University in Kielce, Poland lysik@impan.pl

Session: Spaces of analytic functions

During the talk we shall prove a characterization of real analytic functions in terms of integral means over balls and spheres. The characterization justifies introduction of a definition of real analytic functions on metric measure spaces.

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