Answer by Bongo for Wiener Lemma for matrix valued functions
We know that the Adjugate matrix satisfies the following relation: $$\forall A\in M_{n\times n}(\mathbb R),\; A \text{ adj}(A)=det(A)Id.$$And the Adjugate matrix is defined using the determinat...
View ArticleWiener Lemma for matrix valued functions
The ordinary Wiener lemma states that if $f(x):=\sum_{n \in \mathbb{Z}} a_n \exp(inx)$ ($\sum |a_n|<\infty$) and if $f(x)\neq 0$ everywhere, then $g:=1/f$ can also be written as$$g(x)= \sum b_n...
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