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

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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
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     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/}
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