An alternative point of view to the theory of fractional Fourier transform

G. Dattoli, A. Torre, G. Mazzacurati

Research output: Contribution to journalArticle

13 Citations (Scopus)


The concept of the fractional Fourier transform is framed within the context of quantum evolution operators. This point of view yields an extension of the above concept and greatly simplifies the underlying operational algebra. It is also proved that a multidimensional extension can be performed by using a biorthogonal multiindex harmonic oscillator basis. It is finally shown that most of the proposed physical interpretations of the fractional Fourier transform are just trivial consequences of the analysis developed in this paper.
Original languageEnglish
Pages (from-to)215 - 224
Number of pages10
JournalIMA Journal of Applied Mathematics
Issue number3
Publication statusPublished - 1998
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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