𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Deficiency indices of fourth-order singular differential operators

✍ 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.


πŸ“œ SIMILAR VOLUMES


Deficiency indices and spectral theory o
✍ Horst Behncke; Don Hinton πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 341 KB

## Abstract We investigate the spectral theory of a general third order formally symmetric differential expression of the form acting in the Hilbert space ℒ︁^2^~__w__~ (__a__ ,∞). A Kummer–Liouville transformation is introduced which produces a differential operator unitarily equivalent to __L__

Spectral analysis of fourth order differ
✍ Horst Behncke πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 177 KB

## 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.

Spectral analysis of fourth order differ
✍ Horst Behncke πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 218 KB

## Abstract We study the spectral theory of differential operators of the form on β„’^2^~__w__~ (0, ∞). By means of asymptotic integration, estimates for the eigenfunctions and__M__ ‐matrix are derived. Since the __M__ ‐function is the Stieltjes transform of the spectral measure, spectral properties