title: Fractional Fourier transform for quasi-periodic Bloch functions.
abstract: The fractional Fourier transform (FRFT) for quasi-periodic Bloch functions is studied. An isomorphism between square-integrable functions on the real line and quasi-periodic Bloch functions is used to extend existing work on the fractional Fourier transform for the former functions to the latter. The properties of the FRFT for quasi-periodic Bloch functions are discussed, and various numerical examples are presented.
authors.affiliation: Department of Electrical Engineering and Electronics, The University of Liverpool, UK.
authors.forename: C C
authors.initials: CC
authors.lastname: Chong
authors.forename: A
authors.initials: A
authors.lastname: Vourdas
authors.forename: C
authors.initials: C
authors.lastname: Bendjaballah