Generalized Weighted Sobolev Spaces and Applications to Sobolev Orthogonal Polynomials I
✍ Scribed by José M. Rodríguez; Venancio Álvarez; Elena Romera; Domingo Pestana
- Book ID
- 111569738
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 286 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We generalize spherical harmonics expansions of scalar functions to expansions of alternating differential forms (‘__q__‐forms’). To this end we develop a calculus for the use of spherical co‐ordinates for __q__‐forms and determine the eigen‐__q__‐forms of the Beltrami‐operator on __S__
In this paper, we give some polynomial approximation results in a class of weighted Sobolev spaces, which are related to the Jacobi operator. We further give some embeddings of those weighted Sobolev spaces into usual ones and into spaces of continuous functions, in order to use the above approximat
We obtain the (contracted) weak zero asymptotics for orthogonal polynomials with respect to Sobolev inner products with exponential weights in the real semiaxis, of the form x γ e -ϕ(x) , with γ > 0, which include as particular cases the counterparts of the so-called Freud (i.e., when ϕ has a polyn