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math.FA2017★ 24 cited
Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We prove several extension theorems for Roumieu ultraholomorphic classes of functions in sectors of the Riemann surface of the logarithm which are defined by means of a weight func…
math.CV2017
A Phragmén-Lindelöf theorem via proximate orders, and the propagation of asymptotics
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We prove that, for asymptotically bounded holomorphic functions in a sector in , an asymptotic expansion in a single direction towards the vertex with constraints in te…