Date | Mar 21, 2018 |
---|---|

Speaker | Francesco Fidaleo |

Dept. | Univ. Roma "Tor Vergata" |

Room | 129-301 |

Time | 16:00-18:00 |

For the noncommutative 2-torus A_α, we have recently shown (FF and L.Suriano) that it is possible to construct explicitly type III representations π, at least when α is Liouville number. In addition, if α is Liouville, with a faster approximation property, it is possible to construct also genuine (i.e. non trivial) modular spectral triples.

For such examples, we introduce and investigate a one-parameter family with parameter t∈

For such examples, we introduce and investigate a one-parameter family with parameter t∈

$$0,1$$
, of Fourier transforms. Also, we prove the analogous of Riemann-Lebesgue Lemma and Hausdorff-Young Theorem. Finally, for p∈

$$1,2$$
we establish an inversion formula arising from the Cesaro mean and the Poisson average.

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