학술논문
Linear difference operators with sequence coefficients having infinite-dimentional solution spaces
Document Type
Working Paper
Author
Source
ACM Communications in Computer Algebra, vol 57, issue 1, 2023
Subject
Language
Abstract
The notion of lacunary infinite numerical sequence is introduced. It is shown that for an arbitrary linear difference operator L with coefficients belonging to the set R of infinite numerical sequences, a criterion (i.e., a necessary and sufficient condition) for the infinite dimensionality of its space $V_L$ of solutions belonging to R is the presence of a lacunary sequence in $V_L$.
Comment: In memory of Marko Petkov\v{s}ek
Comment: In memory of Marko Petkov\v{s}ek