RT info:eu-repo/semantics/article
T1 Surjectivity of the asymptotic borel map in Carleman–Roumieu ultraholomorphic classes defined by regular sequences
A1 Jiménez Garrido, Jesús Javier
A1 Sanz Gil, Javier
A1 Schindl, Gerhard
K1 Carleman ultraholomorphic classes
K1 Asymptotic expansions
K1 Laplace transform
K1 Regular variation
K1 12 Matemáticas
AB We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel mapin Carleman–Roumieu ultraholomorphic classes defined by regular sequences in the senseof E. M. Dyn’kin. We extend previous results by J. Schmets and M. Valdivia, by V. Thilliez,and by the authors, and show the prominent role played by an index, associated with thesequence, that was introduced by V. Thilliez. The techniques involve regular variation, integraltransforms and characterization results of A. Debrouwere in a half-plane, stemming from hisstudy of the surjectivity of the moment mapping in general Gelfand–Shilov spaces.
PB Springer
SN 1578-7303
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/49038
UL https://uvadoc.uva.es/handle/10324/49038
LA eng
NO Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, vol.115, n. 4,  p. 1-18
NO Producción Científica
DS UVaDOC
RD 22-nov-2024