On the eigenvalues of second-order spectral differentiation operators
✍ Scribed by Hervé Vandeven
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 398 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The existence of a unique 71 x n matrix spectral function is shown for a selfadjoint operator A in a Hilbert space Lg(m). This Hilbert space is a subspace of the product of spaces L2(rn;) with measures rn,, i = 1 , . . . , n , having support i n [O,m). The inner product in Li(m) is the weighted sum
## 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.