Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 28, No 4, (2002), 379p-390p
Abstract:
Let P be a bi-variate algebraic polynomial of degree n with the
real senior part, and Y = {yj }1,n an n-element collection of pairwise
noncolinear unit vectors on the real plane. It is proved that there exists a rigid
rotation Y^φ of Y by an angle φ = φ(P, Y ) ∈ [0, π/n] such that P equals the
sum of n plane wave polynomials, that propagate in the directions ∈ Y^φ .
Description:
* The author was supported by NSF Grant No. DMS 9706883.