Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 43, 2018, 475-482

A CHARACTERIZATION OF REAL ANALYTIC FUNCTIONS

Grzegorz Lysik

Jan Kochanowski University, Faculty of Mathematics and Natural Science
25-406 Kielce, Poland; lysik 'at' impan.pl

Abstract. We give a characterization of real analytic functions in terms of integral means. The characterization justifies the introduction of a definition of analytic functions on metric measure spaces.

2010 Mathematics Subject Classification: Primary 26E05, 32A05; Secondary 32K99, 31E05.

Key words: Real analytic function, integral mean, metric measure space.

Reference to this article: G. Lysik: A characterization of real analytic functions. Ann. Acad. Sci. Fenn. Math. 43 (2018), 475-482.

Full document as PDF file

https://doi.org/10.5186/aasfm.2018.4325