D. A. Abanina, “On Borel's extension theorem for general Beurling classes of ultradifferentiable functions”, Владикавк. матем. журн., 2007, том 9, номер 1,страницы 3

On Borel's extension theorem for general Beurling classes of ultradifferentiable functions

D. A. Abanina^ab

^a Southern Federal University, Rostov-on-Don, RUSSIA
^b Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, RUSSIA

Аннотация: We obtain necessary and sufficient conditions under which general Beurling class of ultradifferentiable functions admits a version of Borel's extension theorem.

Ключевые слова: Ultradifferentiable functions, Borel's extension theorem.

УДК: 517.51+517.98

MSC: 46E10,26E10,30D15

Поступила в редакцию: 27.10.2006

Язык публикации: английский