Dual bases for spline spaces on cells
โ Scribed by Larry L. Schumaker
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 484 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0167-8396
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In the present paper we consider periodic spline systems in order to obtain SCHAUDEB bases for the real HARDY spaces Hp(T) (0 < p 5 1) defined on the one-dimensional torus T . In a recent note [la] we have shown that the periodic FFLANKLIN system forms a basis in H J T ) if 112 < p < 1. Obviously,
We consider spaces of the form span 1, t, . . . , t n-4 , u 1 (t), u 2 (t), u 3 (t), u 4 (t) , where the functions u i (i = 1, . . . , 4) are algebraic polynomials, or trigonometric or hyperbolic functions. We find intervals [0, ฮฑ] where we can guarantee that the spaces possess normalized totally po