COMPLEX HADAMARD MATRICES AND APPLICATIONS

Teo Banica (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

A complex Hadamard matrix is a square matrix H ∈ M N (C) whose entries are on the unit circle, |H ij | = 1, and whose rows and pairwise orthogonal. The main example is the Fourier matrix, F N = (w ij) with w = e 2πi/N. We discuss here the basic theory of such matrices, with emphasis on geometric and analytic aspects. CONTENTS

Domaines: Algèbres d'opérateurs [math.OA]

Teo Banica. COMPLEX HADAMARD MATRICES AND APPLICATIONS. 2019. ⟨hal-02317067v1⟩