ON THE SPACE OF HOMOGENEOUS MODIFIED HARMONIC
Katholische Universit¨at Eichst¨att-Ingolstadt, ELEUTHERIUS SYMEONIDIS · Mathematical Reports · 2024
The functions on Rd−1 × (0,∞) (d ≥ 3) that are annihilated by the Laplace– Beltrami operator corresponding to the line-element dl2 = x2 d(dx21 +. . .+dx2 d) are called modified harmonic. In this note, we prove a conjecture of Heinz Leutwiler concerning the space of homogeneous modified harmonic polynomials of a fixed degree.