## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their soβcalled __k__ βsplitt
Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
β Scribed by Tao Qian
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 326 KB
- Volume
- 310
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Billiard problems for the domains on the sphere and hyperbolic space bounded by the corresponding conical sections are investigated. It is shown that these discrete systems are integrable and correspond to the translations on the Jacobi varieties of certain hyperelliptic curves. The explicit formula
Using a Lagranglan interpolation over the values of space occupied by a sphere in one-, two-and three-dimensional space an expression for the space occupied by a sphere in non-integral dimensional space is obtained. This is used to obtain expressions for the pressure and volume corrections to the va