# Infinite Real Symmetric Toeplitz Matrix Reference

I am looking for a good starting point (book or articles) for studying Toeplitz matrices. Specifically as mentioned in the title, I am most interested in the case where they are of the form $$A = \{\phi(i-j)\}_{i,j\in\mathbb{Z}}$$ where $\phi:\mathbb{R}\to\mathbb{R}$ and $\phi(i-j)=\phi(j-i)$.

I so far have looked at "Analysis of Toeplitz Operators" by Bottcher and Silbermann, but wonder if there might be some more references that address my specific interest, and if anything can be said about the explicit form of the inverse.

I apologize if this has been answered before, but I did not find much in searching old posts.

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certainly Boettcher and Silbermann have many more references that they cite---can't be that none of those is helpful???? –  Suvrit Nov 28 '12 at 18:59