Giorgio Mantica and Davide Guzzetti
The Asymptotic Behaviour of the Fourier 
Transform of Orthogonal Polynomials II: IFS measures and Quantum 
Mechanics 
(2574K, latex with five postscript figures)

ABSTRACT.  We study measures generated by 
systems of linear iterated functions, their Fourier transform, 
and those of their orthogonal polynomials. We show that a Mellin 
analysis permits to fully characterize the asymptotic behaviours 
of these and other related quantities. Relevance of this analysis 
to quantum mechanics is briefly discussed.