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
Index of defect of a symmetric second-order differential operator on the space of vector-functions
โ Scribed by V. P. Serebyakov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1988
- Tongue
- English
- Weight
- 326 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The space of linear differential operators on a smooth manifold M has a natural one-parameter family of Diff(M )-(and Vect(M )-) module structures, defined by their action on the space of tensor densities. It is shown that, in the case of secondorder differential operators, the Vect(M)-module struct
We define new solutions of the hypergeometric system that are invariant with respect to a parabolic Weyl subgroup. They generalize the spherical functions of an ordered symmetric space. We study their properties with respect to monodromy, their analytic extensions and their boundary value on the ima