Quasi-analyticity in Carleman ultraholomorphic classes

Alberto Lastra; Javier Sanz

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arXiv · 1001.4064

Quasi-analyticity in Carleman ultraholomorphic classes

Alberto Lastra·Javier Sanz

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Abstract

We give a characterization for two different concepts of quasi-analyticity in Carleman ultraholomorphic classes of functions of several variables in polysectors. Also, working with strongly regular sequences, we establish generalizations of Watson's Lemma under an additional condition related to the growth index of the sequence.

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Alberto Lastra, Javier Sanz. 2010-01-22. Quasi-analyticity in Carleman ultraholomorphic classes. https://arxiv.org/abs/1001.4064

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