On some extremal problems in H p and the prediction ofL p -harmonizable stochastic processes

Summary We providesimple andsuccinct solutions to two dual extremal problems in the Hardy spacesH^p, and to an aspect of the linear prediction problem for a certain class of discrete and continuous parameter L^p-harmonizable stochastic processes, for all 1p<. Two of the results presented appear new. The methods of proof of the rest of the results provide alternatesimpler andshorter proofs for some earlier known theorems.This research is partially supported by AFSOR Grant No. 90-016 8 and the University of Tennessee Science Alliance, a State of Tennessee Center of Excellence