Pythagorean identity for polyharmonic polynomials

Allan Fryant, Murali Krishna Vemuri
2002 International Journal of Mathematics and Mathematical Sciences  
Polyharmonic polynomials innvariables are shown to satisfy a Pythagorean identity on the unit hypersphere. Application is made to establish the convergence of series of polyharmonic polynomials.
doi:10.1155/s0161171202003393 fatcat:7z3ycqvpzjfytl44g7lclthopa