Wall Rational Functions and Khrushchev’s Formula for Orthogonal Rational Functions
Wall Rational Functions and Khrushchev’s Formula for Orthogonal Rational Functions
复制标题
沃尔有理函数和赫鲁晓夫正交有理函数公式
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
L. Velázquez
中科院分区：
文献类型：
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作者：
O. Njåstad;L. Velázquez
Nevalinna-Pick算法产生每个Schur函数的连续分数展开，其近似被识别。这些逼近是有理函数的逼近，可以理解为沃尔多项式的有理类似物。这些壁有理函数和相应的逼近的性质允许我们获得正交有理函数的赫鲁晓夫公式。介绍了在不定情况下的壁逼近的收敛性。
The Nevalinna–Pick algorithm yields a continued fraction expansion of every Schur function, whose approximants are identified. These approximants are quotients of rational functions which can be understood as the rational analogs of the Wall polynomials. The properties of these Wall rational functions and the corresponding approximants permit us to obtain a Khrushchev’s formula for orthogonal rational functions. An introduction to the convergence of the Wall approximants in the indeterminate case is presented.