Boundary Interpolation in the Ball
We solve a boundary interpolation problem in the reproducing kernel Hilbert space of functions analytic in the unit ball of C^N with reproducing kernel 1/(1−∑1Nzkwk*). We introduce the notion of Brune factor (or Blaschke–Potapov factor of the third kind) in this setting.
D. Alpay and C. Dubi. Boundary interpolation in the ball. Linear Algebra and Applications, vol. 340 (2002) pp. 33-54.