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.
Lingua originale | English |
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pagine (da-a) | 1315-1348 |
Numero di pagine | 34 |
Rivista | Advances in Theoretical and Mathematical Physics |
Volume | 2012 |
Stato di pubblicazione | Pubblicato - 2012 |
Keywords
- Fractional field theory