On the basis property of eigenfunctions of a singular second-order differential operator
β Scribed by Belyantsev, O. V.; Lomov, I. S.
- Book ID
- 119881684
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 259 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0012-2661
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π SIMILAR VOLUMES
HILBERT space L,(D) where the coefficients always fulfil the following conditions. ## i) ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8
In this work we consider the eigenfunction V , t satisfying a condition at Ε½ . infinity of a singular second order differential operator on 0, qΟ± . We give an < < asymptotic expansion of this solution with respect to the variable as Βͺ qΟ±, which permits us to establish a generalized Schlafli integral