Decomposition of Linear Operators and Asymptotic Behavior of Eigenvalues of Difference Operators with Growing Potential
| Autor: | G. V. Garkavenko, N. B. Uskova |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Pure mathematics Applied Mathematics General Mathematics 010102 general mathematics Linear operators Hilbert space 01 natural sciences Square (algebra) 010305 fluids & plasmas symbols.namesake 0103 physical sciences Bibliography Decomposition (computer science) symbols 0101 mathematics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 246:812-827 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-020-04784-3 |
| Popis: | We consider difference operators with growing potential in the Hilbert space of square summable complex bilateral sequences and study the asymptotic behavior of eigenvalues under three different groups of conditions on the potential. The main results are proved by the method of decomposing similar operators. Bibliography: 27 titles. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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