Momentum transforms and Laplacians in fractional spaces

Giuseppe Nardelli, Gianluca Calcagni

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We define an infinite class of unitary transformations between configuration and momentum fractional spaces, thus generalizing the Fourier transform to a special class of fractal geometries. Each transform diagonalizes a unique Laplacian operator. We also introduce a new version of fractional spaces, where coordinates and momenta span the whole real line. In one topological dimension, these results are extended to more general measures.
Original languageEnglish
Pages (from-to)1315-1348
Number of pages34
JournalAdvances in Theoretical and Mathematical Physics
Volume2012
Publication statusPublished - 2012

Keywords

  • Fractional field theory

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