Spectral Properties of Hadamard Matrices
A Hadamard matrix is a unitary matrix with the property that all of the entries of the matrix have the same modulus. The canonical example is the Fourier matrix. Hadamard matrices occur in a wide variety of contexts, one of which is Fourier series on fractals. We will present results regarding eigenvalues and eigenvectors of certain classes of Hadamard matrices, including some that appear in the context of fractals, and will also introduce the “Fast Fractal Transform”. This is joint work with Dorin Dutkay and John Haussermann.