We analyse the convergence of the ergodic formula for Toeplitz matrix-sequences generated by a symbol and we produce explicit bounds depending on the size of the matrix, the regularity of the symbol and the regularity of the test function.

翻译：我们分析了由符号生成的Toeplitz矩阵序列遍历公式的收敛性，并给出了依赖于矩阵规模、符号正则性及测试函数正则性的显式界。