Geodesic
Linear Functionals on Homogeneous Polynomials
Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 465-468

Voir la notice de l'article provenant de la source Cambridge University Press

The space Hm of homogeneous polynomials in n real variables x1, x2,..., xn of degree m may be considered as an inner product space with inner product ; where ds is the rotation-invariant measure on Sn-1 = {x ε Rn: |x| = 1}, . The problem solved in this paper is the following: given n-1 a linear functional φ on Hm, find Pφ ε Hm so that φ(p) = (p, Pφ) for all p ε Hm. 
Dunkl, Charles F. Linear Functionals on Homogeneous Polynomials. Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 465-468. doi: 10.4153/CMB-1968-055-9
@article{10_4153_CMB_1968_055_9,
     author = {Dunkl, Charles F.},
     title = {Linear {Functionals} on {Homogeneous} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {465--468},
     year = {1968},
     volume = {11},
     number = {3},
     doi = {10.4153/CMB-1968-055-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-055-9/}
}
TY  - JOUR
AU  - Dunkl, Charles F.
TI  - Linear Functionals on Homogeneous Polynomials
JO  - Canadian mathematical bulletin
PY  - 1968
SP  - 465
EP  - 468
VL  - 11
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-055-9/
DO  - 10.4153/CMB-1968-055-9
ID  - 10_4153_CMB_1968_055_9
ER  - 
%0 Journal Article
%A Dunkl, Charles F.
%T Linear Functionals on Homogeneous Polynomials
%J Canadian mathematical bulletin
%D 1968
%P 465-468
%V 11
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-055-9/
%R 10.4153/CMB-1968-055-9
%F 10_4153_CMB_1968_055_9

[1] 1. Dunkl, C.F., Operators and harmonic analysis on the sphere. Trans. A. M. S. 125 (1966) 250-263. Google Scholar

[2] 2. Hua, L.K., harmonic analysis of functions of several complex variables in the classical domains. Translation of mathematical monographs. (A. M.S. Providence, 1963). Google Scholar

Cité par Sources :