On generalized resolvents and spectral functions of differential operators of even order in a space of vector-valued functions
โ Scribed by V. M. Bruk
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1974
- Tongue
- English
- Weight
- 389 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ 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
If nt is a nondecreasing function on the interval [O, I], 0 -=I -= 00, in [3] a descrip-(12 I ] lilotz/Langer, Generalized Resolvents and Spectral Functions and the CAUCHY-SCHWARZ inequality implies t (Os-tss). The il;tegral equation for @(.; z,,) gives 0 - The proof of (ii) is similar. - ## 2. C