Holomorphic functions taking values in a quotient of frechet-Schwartz spaces

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概要

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• We define a space of holomorphic functions\ }$% O_{1}(U,E\mid F)${\it \ on a domain of holomorphy }$U${\it \ of }${\Bbb C}% ^{n}${\it , taking their values in quotient bornological spaces }$E\mid F$% {\it \ as the kernel of a sheaf-morphism.\ We show that if }$E${\it \ is a Schwartz b-space and }$F${\it \ a Fr\'{e}chet-Schwartz b-space, then }$% O_{1}(U,E\mid F)${\it \ and }$O\left( U,E\right) \mid O\left( U,F\right) $% {\it \ are naturally isomorphic.}

• 広島大学の論文

著者

• Hassan M.el.alj

  Universite Ibn Tofail Faculte Des Sciences Departement De Mathematiques B.p.133 Kenitra Morocco

• Belesnaoi Aqzzouz

  Universite Mohammued V-Souissi Faculte des Sciences Economiques Juridiques et Sociales Depatement d'

• Belesnaoi Aqzzouz

  Universite Mohammued V-souissi Faculte Des Sciences Economiques Juridiques Et Sociales Depatement D&

関連論文

• Holomorphic functions taking values in a quotient of frechet-Schwartz spaces

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