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math.CV2024
A new class of Borel monogenic functions
Mauricio Garay, Duco van Straten
Spaces of quasi-analytic classes are defined by the existence and uniqueness of Taylor expansions, which are not necessarily convergent. First examples were given by Borel in his t…
math.CV2020
A Category of Banach Space Functors
Mauricio Garay, Duco van Straten
We introduce a sheaf theoretic viewpoint on functional analysis designed for infinite dimensional Lie group actions. We develop functional calculus for Banach valued functors and,…