Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with
  Symbols in H\"older-Zygmund Spaces   We prove a higher order asymptotic formula for traces of finite block
Toeplitz matrices with symbols belonging to H\"older-Zygmund spaces. The
remainder in this formula goes to zero very rapidly for very smooth symbols.
This formula refine previous asymptotic trace formulas by Szeg\"o and Widom and
complement higher order asymptotic formulas for determinants of finite block
Toeplitz matrices due to B\"ottcher and Silbermann.

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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex