FUNCTIONS WHOSE MOMENTS FORM A GEOMETRIC PROGRESSION
Mourad E. H. Ismail, Xin Li · WORLD SCIENTIFIC eBooks · 2008
We start with a measure space L2[R, dµ]and give a lower bound for the norm of functions in this space whose first N moments form a geometric progression.Several consequences are investigated including a new criterion for the determinacy of the moment problem.The corresponding questions on the unit circle are also investigated. In particular we give a lower bound for the L2 norm of interpolatory functions in the disk algebra.