Abstract. In this paper the summability of conjugate Laplace series of functions or measures is investigated. Criteria for the Abel summability, the Cesàro summability (pointwise and in $L^p$-norm) and the pointwise convergence are given.

AMS Subject Classification (1991): 33C55, 40G05, 40G10

Received January 12, 1998. (Registered under 2675/2009.)