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A New Characterization of Quasi-Analytic Classes of C <sup>โˆž</sup> -Functions

A New Characterization of Quasi-Analytic Classes of C <sup>โˆž</sup> -Functions

It is shown that a basic class C { M n } of C โˆž -functions contains only quasi-analytic functions if, and only if, every function in C { M n } maps Borel sets onto Borel sets.