TY - JOUR T1 - The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics JF - Ann. Henri Poincar´e 8 (2007), 301–336 Y1 - 2007 A1 - Davide Guzzetti A1 - Giorgio Mantica AB - We study measures generated by systems of linear iterated functions,\r\ntheir Fourier transforms, and those of their orthogonal polynomials. We\r\ncharacterize the asymptotic behaviours of their discrete and continuous averages.\r\nFurther related quantities are analyzed, and relevance of this analysis\r\nto quantum mechanics is briefly discussed PB - 2007 Birkh¨auser Verlag Basel/Switzerland U1 - 6480 U2 - Mathematics U4 - 1 U5 - MAT/07 FISICA MATEMATICA ER -