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Nica’s q-Convolution is Not Positivity Preserving

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Abstract

It is shown that the q-convolution of Nica is not positivity preserving unless q=0 or q=1, i.e. the q-convolution of two probability measures with finite moments of all orders is not necessarily a probability measure.

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Authors and Affiliations

  1. Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan

    Ferenc Oravecz

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  1. Ferenc Oravecz
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Correspondence to Ferenc Oravecz.

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Communicated by M.B. Ruskai

Supported by Grant-in-Aid for JSPS Fellows

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Oravecz, F. Nica’s q-Convolution is Not Positivity Preserving. Commun. Math. Phys. 258, 475–478 (2005). https://doi.org/10.1007/s00220-005-1307-8

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  • DOI: https://doi.org/10.1007/s00220-005-1307-8

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