The Differentiability and Uniqueness of Con- Tinuous Solutions of Addition Formulas
نویسندگان
چکیده
4.1 Remarks. Suppose that the hypothesis of a theorem involves convergence (a). I t may happen (and does indeed in the case of all theorems in [S]) that convergence (cri) may be substituted in the hypothesis as follows: each ovregion which occurs in the proof is a (Tn-region for some n\ if there is a largest such n call it N. Then convergence (aN) may be substituted in the hypothesis and may, by Theorem I, be replaced by convergence ( 0 there are indices (p, g) such that 1^4—^(7^)1 <e for every crn-region R which is a region (p, q). In general (p, q) will depend on n; if the choice does not depend on n then the series is convergent (a).
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