A note on isoparametric polynomials

作者：Tkachev Vladimir G^*

来源：Analysis and Mathematical Physics, 2014, 4(3): 237-245.

DOI：10.1007/s13324-014-0067-z

• Isoparametric functions
• Cartan-Munzner polynomial
• Chebychev polynomial

We show that any homogeneous polynomial solution of the eiconal type equation vertical bar del F(x)vertical bar(2) = m(2) vertical bar x vertical bar(2m-2), m >= 1, is either a radially symmetric polynomial F(x) = +/-vertical bar x vertical bar(m) (for even m's) or it is a composition of a Chebychev polynomial and a Cartan-Munzner polynomial.

• 出版日期2014-9