In this paper, the kernels (that is the sets of sequences transformed into a constant sequence) of the sequence transformations where each step is obtained from the previous one are studied in detail. It is first proved that the kernel of each step contains the kernel of the previous step. Then, a technique for constructing the difference equation satisfied by the sequences of the kernel is given. It is illustrated by several examples.
On the kernel of sequence transformations
REDIVO ZAGLIA, MICHELA
1994
Abstract
In this paper, the kernels (that is the sets of sequences transformed into a constant sequence) of the sequence transformations where each step is obtained from the previous one are studied in detail. It is first proved that the kernel of each step contains the kernel of the previous step. Then, a technique for constructing the difference equation satisfied by the sequences of the kernel is given. It is illustrated by several examples.
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