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Results tagged with matrices
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user 153260
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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Wold decomposition of toral endomorphisms
Suppose that $A\in M_d(\mathbb{Z})$ is a $d \times d$ matrix with non zero determinant and suppose that $\mathbb{T}^d$ is the $d$-dimensional torus. Then one can define an operator on $L^2(\mathbb{T}^ …
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Results of invertibility of a matrix involving the Szego kernel
Sorry for my previous answer. This is a partial answer for the $2\times 2$ case.
Notice first that we can assume without loss of generality that $z_1=0$.
Otherwise we can apply the Moebius transformat …