Annales Henri Poincaré

, Volume 8, Issue 2, pp 301–336 | Cite as

The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics

  • Giorgio Mantica
  • Davide Guzzetti


We study measures generated by systems of linear iterated functions, their Fourier transforms, and those of their orthogonal polynomials. We characterize the asymptotic behaviours of their discrete and continuous averages. Further related quantities are analyzed, and relevance of this analysis to quantum mechanics is briefly discussed.


Fourier Series Periodic Function Orthogonal Polynomial Electrostatic Energy Jacobi Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel/Switzerland 2007

Authors and Affiliations

  1. 1.Center for Non-linear and Complex SystemsUniversità dell’InsubriaComoItaly
  2. 2.CNISM and INFN sez.ComoItaly
  3. 3.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

Personalised recommendations