Abstract In this paper we construct vector-valued multi operator-stable random measures that behave locally like operator-stable random measures. The space of integrable functions is characterized in terms of a certain quasi-norm. Moreover, a multi operator-stable moving-average representation of a random field is presented which behaves locally like an operator-stable random field which is also operator-self-similar.

中文翻译：

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多算子稳定的随机度量和字段

摘要 在本文中，我们构造了向量值多算子稳定的随机测度，其局部行为类似于算子稳定的随机测度。可积函数空间的特征在于某个准范数。此外，还提出了一个随机场的多算子稳定移动平均表示，它在局部表现得像一个算子稳定的随机场，它也是算子自相似的。