arXiv
Open Access
2023
Linear difference operators with sequence coefficients having infinite-dimentional solution spaces
Sergei Abramov
Gleb Pogudin
Abstrak
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 $V_L$.
Topik & Kata Kunci
Penulis (2)
S
Sergei Abramov
G
Gleb Pogudin
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
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- arXiv
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