The spectrum of the wavelet Galerkin operator

Abstract

We give a complete description of spectrum of the wavelet Galerkin operator $$R_{m_0,m_0}f(z)=\frac{1}{N}\sum_{w^N=z}|m_0|^2(w)f(w),\quad(z\in\m athbb{T})$$ associated to a a low-pass filter $m_0$ and a scale $N$, in the Banach spaces $C(\mathbb{T})$ and $L^p(\mathbb{T})$, $1\le p\le \infty$.

References in corpus (1)

• The Wavelet Galerkin Operator