The classical moment problem as a self-adjoint finite difference operator
The classical moment problem as a self-adjoint finite difference operator
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DOI：
10.1006/aima.1998.1728
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发表时间：
1998-07-15
影响因子：
1.7
通讯作者：
Simon, B
中科院分区：
文献类型：
--
作者：
Simon, B
这是一个全面的阐述经典的时刻问题，使用的方法从理论的有限差分算子。这种方法的优点之一是，Nevanlinna函数出现的元素的转移矩阵和收敛的Pade逼近出现的强预解收敛的有限矩阵近似的雅可比矩阵。作为奖金，我们获得了新的结果，收敛的某些帕迪逼近的汉堡系列。(C)1998年学术出版社。
This is a comprehensive exposition of the classical moment problem using methods from the theory of finite difference operators. Among the advantages of this approach is that the Nevanlinna functions appear as elements of a transfer matrix and convergence of Pade approximants appears as the strong resolvent convergence of finite matrix approximations to a Jacobi matrix. As a bonus of this, we obtain new results on the convergence of certain Padi approximants for series of Hamburger. (C) 1998 Aademic Press.