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Deformed Fourier models with formal parameters

Volume 239 / 2017

Teodor Banica Studia Mathematica 239 (2017), 201-224 MSC: Primary 16T05; Secondary 60B15. DOI: 10.4064/sm8580-1-2017 Published online: 26 May 2017

Abstract

The deformed Fourier matrices $H=F_M\otimes _QF_N$ with $Q\in \mathbb T^{MN}$ produce a matrix model $C(S_{MN}^+)\to M_{MN}(C(\mathbb T^{MN}))$. When $Q\in \mathbb T^{MN}$ is generic, the corresponding fiber can be investigated via algebraic techniques, and the main character law is asymptotically free Poisson. We present an alternative point of view on these questions, using formal parameters instead of generic parameters, and analytic tools.

Authors

  • Teodor Banica

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