非高斯 Mittag-Leffler 函数上算子符号的解析表征

Wolfgang Bock, Ang Elyn Gumanoy, Sheila Menchavez, Elmira Nabizadeh Morsalfard
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摘要

在本文中,我们利用米塔格-勒弗勒分布空间的表征定理,对算子符号的解析表征定理进行了证明。我们举出了可以解释为积分核算子的例子,并对平移算子这一重要情况进行了处理。
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An analytic characterization of symbols of operators on non-Gaussian Mittag-Leffler functionals
In this paper, we provide proofs for the analytic characterization theorems of the operator symbols utilizing the characterization theorem for the Mittag-Leffler distribution space.We work out examples which can be interpreted as integral kernel operators and treat the important case of the translation operator.
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