Functions and Analysis


Complex Hadamard Matrices and Applications

Authors: Teo Banica

A complex Hadamard matrix is a square matrix $H\in M_N(\mathbb C)$ 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 $w=e^{2\pi i/N}$. We discuss here the basic theory of such matrices, with emphasis on geometric and analytic aspects.

Comments: 200 Pages.

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Submission history

[v1] 2019-10-15 11:22:08

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