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  • Flat functions in Carleman ...
    Sanz, Javier

    Journal of mathematical analysis and applications, 07/2014, Letnik: 415, Številka: 2
    Journal Article

    Whenever the defining sequence of a Carleman ultraholomorphic class (in the sense of H. Komatsu) is strongly regular and associated with a proximate order, flat functions are constructed in the class on sectors of optimal opening. As consequences, we obtain analogues of both Borel–Ritt–Gevrey theorem and Watson's lemma in this general situation.