Тип публикации: статья из журнала
Год издания: 2014
Ключевые слова: Amoebas of algebraic sets, Asymptotic, Difference equation, Logarithmic Gauss map
Аннотация: Given a linear homogeneous multidimensional difference equation with constant coefficients, we choose a pair (?, ?), where ? is a homological k-dimensional cycle on the characteristic set of the equation and ? is a holomorphic form of degree k. This pair defines a so called homological solution by the integral over ? of the form ? multiplied by an exponential kernel. A multidimensional variant of Perron’s theorem in the class of homological solutions is illustrated by an example of the first order equation. © Siberian Federal University. All rights reserved.
Издание
Журнал: Journal of Siberian Federal University - Mathematics and Physics
Выпуск журнала: Vol. 7, Is. 4
Номера страниц: 417-430
Персоны
- Bushueva N.A. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation)
- Kuzvesov K.V. (Multifunctional Center, 9 May, 12, Krasnoyarsk, Russian Federation)
- Tsikh A.K. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation)
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