Browsing by Subject "moment problems"
Now showing 1 - 1 of 1
- Results Per Page
- Sort Options
Item type:Article, Access status: Open Access , Hankel and Toeplitz operators - continuous and discrete representations(2017) Âfaev, Dmitrij R.We find a relation guaranteeing that Hankel operators realized in the space of sequences $\mathcal{l}^2 (\mathbb{Z}_{+})$ and in the space of functions $L^2 (\mathbb{R}_{+})$ are unitarily equivalent. This allows us to obtain exhaustive spectral results for two classes of unbounded Hankel operators in the space $\mathcal{l}^2 (\mathbb{Z}_{+})$ generalizing in different directions the classical Hilbert matrix. We also discuss a link between representations of Toeplitz operators in the spaces $\mathcal{l}^2 (\mathbb{Z}_{+})$ and $L^2 (\mathbb{R}_{+})$.