## Abstract We investigate the spectral theory of a general third order formally symmetric differential expression of the form acting in the Hilbert space βοΈ^2^~__w__~ (__a__ ,β). A KummerβLiouville transformation is introduced which produces a differential operator unitarily equivalent to __L__
Deficiency indices of fourth-order singular differential operators
β Scribed by Philip W Walker
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 308 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract This paper extends the results of the two previous papers in several directions. For one we allow slower decay of the coefficients, but higher order differentiability. For this an expansion for the diagonalizing transformations is derived. Secondly unbounded coefficients are permitted.
## Abstract We study the spectral theory of differential operators of the form on β^2^~__w__~ (0, β). By means of asymptotic integration, estimates for the eigenfunctions and__M__ βmatrix are derived. Since the __M__ βfunction is the Stieltjes transform of the spectral measure, spectral properties