A. Cialdea

The Brothers Riesz Theorem in Rn and Laplace Series

abstract:
In the present paper the concept of series conjugate to a Laplace series on the $(n-1)$-dimensional sphere is introduced and a Brothers Riesz Theorem for such series is proved.

Mathematics Subject Classification: 33C55, 31B05.

Key words and phrases: Laplace series, F. and M. Riesz Theorem.