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Finite Two-Point Space Without Quantization on Noncommutative Space from a Generalized Fractional Integral Operator

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Abstract

We show in this communication that if the Mellin transform is replaced by a fractional generalized integral on a noncommutative space and using the basic axioms of spectral triples, the two-point space problem is finite without passing to quantization.

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Authors and Affiliations

  1. Mathematics and Physics Divisions, Athens Institute for Education and Research, 8 Valaoritou Street, Kolonaki, 10671, Athens, Greece

    Rami Ahmad El-Nabulsi

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  1. Rami Ahmad El-Nabulsi
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Correspondence to Rami Ahmad El-Nabulsi.

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Communicated by Daniel Aron Alpay.

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El-Nabulsi, R.A. Finite Two-Point Space Without Quantization on Noncommutative Space from a Generalized Fractional Integral Operator. Complex Anal. Oper. Theory 12, 1609–1616 (2018). https://doi.org/10.1007/s11785-018-0766-9

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  • DOI: https://doi.org/10.1007/s11785-018-0766-9

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