%0 Journal Article %J Ann. Henri Poincar´e 8 (2007), 301–336 %D 2007 %T The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics %A Davide Guzzetti %A Giorgio Mantica %X 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 %B Ann. Henri Poincar´e 8 (2007), 301–336 %I 2007 Birkh¨auser Verlag Basel/Switzerland %G en %1 6480 %2 Mathematics %4 1 %# MAT/07 FISICA MATEMATICA %$ Submitted by Davide Guzzetti (guzzetti@sissa.it) on 2013-03-13T10:11:23Z\nNo. of bitstreams: 1\n11-GuzMantica07.pdf: 924495 bytes, checksum: 5897cbac3fb5b378b02bf5cdae1273ea (MD5) %R 10.1007/s00023-006-0309-1