Spectral phase transition for a class of power-like Jacobi matrices
In this paper we discuss the spectral properties of a class of Jacobi operators defined by An = n a + Cn and qn = — 2na + bn, where (en) and (bn) are real two-periodic sequences. From the asymptotic behavior of the solutions of the generalized eigenequation, which is in the double root case, a mix...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2010
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| Sorozat: | Acta scientiarum mathematicarum
76 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16359 |
| Tartalmi kivonat: | In this paper we discuss the spectral properties of a class of Jacobi operators defined by An = n a + Cn and qn = — 2na + bn, where (en) and (bn) are real two-periodic sequences. From the asymptotic behavior of the solutions of the generalized eigenequation, which is in the double root case, a mixed spectrum is obtained. |
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| Terjedelem/Fizikai jellemzők: | 443-469 |
| ISSN: | 0001-6969 |