Тип публикации: статья из журнала
Год издания: 2007
Идентификатор DOI: 10.1070/SM2007v198n04ABEH003844
Аннотация: For an arbitrary pair of convex domains U, Theta subset of R-n one introduces mirror-symmetric vector spaces M-theta(U) and W-U(theta) consisting of holomorphic functions in the corresponding domains and taken to each other by the direct and the inverse Mellin transformations. As applications, a generalization of the classical inteПоказать полностьюgral Mellin transform for a solution y(X) of the general algebraic equation is obtained and the convergence domain of the Mellin-Barnes hypergeometric integral representing the solution y(X) is found.
Журнал: SBORNIK MATHEMATICS
Выпуск журнала: Vol. 198, Is. 3-4
Номера страниц: 447-463
ISSN журнала: 10645616
Место издания: LETCHWORTH
Издатель: LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES