From Discrete to Absolutely Continuous Solutions of Indeterminate Moment Problems

From Discrete to Absolutely Continuous Solutions of Indeterminate Moment Problems
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不定矩问题从离散解到绝对连续解

DOI:
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发表时间:
1998
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通讯作者:
C. Berg
C. Berg
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文献类型:
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作者:
C. Berg

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我们考虑著名的不确定力矩问题的离散解族,并展示了如何以一种简单的方式使用它们来生成相同力矩问题的绝对连续解。考虑如下情形:对数正态、广义Stieltjes-Wigert、q-Laguerre和离散q-Hermite II。
We consider well-known families of discrete solutions to indeterminate moment problems and show how they can be used in a simple way to generate absolutely continuous solutions to the same moment problems. The following cases are considered: log-normal, generalized Stieltjes-Wigert, q-Laguerre and discrete q-Hermite II.