Quasi-analyticity in Carleman ultraholomorphic classes
Alberto Lastra, Javier Sanz
TL;DR
This paper characterizes quasi-analyticity in Carleman ultraholomorphic classes of functions of several variables, generalizing Watson's Lemma for strongly regular sequences with growth conditions.
Contribution
It provides a new characterization of quasi-analyticity in multivariable ultraholomorphic classes and extends Watson's Lemma to broader sequence classes.
Findings
Characterization of two concepts of quasi-analyticity in multivariable classes
Generalization of Watson's Lemma for strongly regular sequences
Conditions involving the growth index of sequences
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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Taxonomy
TopicsMeromorphic and Entire Functions · Holomorphic and Operator Theory · Mathematics and Applications