✦ LIBER ✦
A Counterexample to Completeness Properties for Indefinite St urm—Liouville Problems
✍ Scribed by Andreas Fleige
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 224 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
In this note we construct an odd weight function w on (-1,l) with w ( x ) > 0 for x > 0 such that the eigenfunctions of the indefinite Sturm-Liouville problem -f" = Xwf with boundary conditions f(-1) = f(1) = 0 do not form a FLiesz basis of L f w , ( -l , 1).