- 04-361 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)
Nov 5, 04
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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.
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