Geodesic
Analysis on the unit ball and on the simplex
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 284-301
Many results on the unit ball and those on the simplex can be deduced from each other or from the corresponding results on the unit sphere. The areas in which such a connection appears include orthogonal polynomials, approximation, cubature formulas and polynomial interpolation. We explain this phenomenon in some detail.
Classification : 41A10, 42C10, 41A63
Keywords: analysis, ball, simplex, orthogonal polynomials, approximation, cubature 
@article{ETNA_2006__25__a13,
     author = {Xu,  Yuan},
     title = {Analysis on the unit ball and on the simplex},
     journal = {Electronic transactions on numerical analysis},
     pages = {284--301},
     year = {2006},
     volume = {25},
     zbl = {1107.41008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a13/}
}
TY  - JOUR
AU  - Xu,  Yuan
TI  - Analysis on the unit ball and on the simplex
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 284
EP  - 301
VL  - 25
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__25__a13/
LA  - en
ID  - ETNA_2006__25__a13
ER  - 
%0 Journal Article
%A Xu,  Yuan
%T Analysis on the unit ball and on the simplex
%J Electronic transactions on numerical analysis
%D 2006
%P 284-301
%V 25
%U http://geodesic.mathdoc.fr/item/ETNA_2006__25__a13/
%G en
%F ETNA_2006__25__a13
Xu,  Yuan. Analysis on the unit ball and on the simplex. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 284-301. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a13/