Spectral asymptotics and trace formulas for differential operators with unbounded coefficients
✍ Scribed by Kh. Kh. Murtazin; V. A. Sadovnichii; R. Z. Tul’kubaev
- Book ID
- 110158471
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 389 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0012-2661
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## Abstract Higher even order linear differential operators with unbounded coefficients are studied. For these operators the eigenvalues of the characteristic polynomials fall into distinct classes or clusters. Consequently the spectral properties, deficiency indices and spectra, of the underlying
## Abstract Differential operators of higher order with unbounded coefficients are analyzed with respect to deficiency index and spectra. The eigenvalues fall into clusters of distinct size and each cluster contributes separately to the deficiency index and spectra.