Gelfond-Leontyev generalized derivation operators and Brenke polynomials
Автор: Bratishchev Alexander V.
Журнал: Вестник Донского государственного технического университета @vestnik-donstu
Рубрика: Физико-математические науки
Статья в выпуске: 6 (49) т.10, 2010 года.
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Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived. Domain class when characteristic function of the complex convolution operator always has zero type, is described. Hypercyclic and random nature of the generalized complex convolution has been proved.
Brenke polynomials, commutation, generalized complex convolution, hypercyclic and chaotic operators, gelfond-leontyev generalized derivative, dankle derivative
Короткий адрес: https://sciup.org/14249425
IDR: 14249425
