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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 6, Pages 1209–1220 (Mi smj1134)  
A version of the Bartle–Graves theorem for temperate functions

B. Aqzzouz, R. Nouira

Université Ibn Tofaïl
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Abstract: We prove a version of the Bartle–Graves theorem for temperate functions in the category of the $b$-spaces of L. Waelbroeck. As a consequence, we give a characterization of some spaces of functions with values in quotients which appear in L. Waelbroeck's holomorphic functional calculus.
Keywords: Bartle–Graves theorem, temperate function, category, $b$-space.
Received: 28.05.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 6, Pages 992–999
DOI: https://doi.org/10.1023/B:SIMJ.0000048915.83778.fe
Bibliographic databases:
UDC: 515.146
Language: Russian
Citation: B. Aqzzouz, R. Nouira, “A version of the Bartle–Graves theorem for temperate functions”, Sibirsk. Mat. Zh., 45:6 (2004), 1209–1220; Siberian Math. J., 45:6 (2004), 992–999
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\issue 6
\pages 992--999
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    		Сибирский математический журнал Siberian Mathematical Journal
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