On Montel and Montel – Popoviciu Theorems in Several Variables

@inproceedings{Aksoy2017OnMA,
  title={On Montel and Montel – Popoviciu Theorems in Several Variables},
  author={Asuman G{\"u}ven Aksoy and Jose Maria Almira},
  year={2017}
}
We present an elementary proof of a general version of Montel’s theorem in several variables which is based on the use of tensor product polynomial interpolation. We also prove a Montel-Popoviciu’s type theorem for functions f : R ! R for d > 1. Furthermore, our proof of this result is also valid for the case d = 1, di↵ering in several points from Popoviciu… CONTINUE READING