ABSTRACT We obtain a multidimensional Tauberian theorem for Laplace transforms of Gelfand-Shilov ultradistributions. The result is derived from a Laplace transform characterization of bounded sets in spaces of ultradistributions with supports in a convex acute cone of , also established here.

中文翻译：

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超分布拉普拉斯变换的多维 Tauberian 定理

摘要 我们获得了 Gelfand-Shilov 超分布的拉普拉斯变换的多维 Tauberian 定理。结果来自于 的凸锐锥体中具有支撑的超分布空间中的有界集的拉普拉斯变换表征，也在这里建立。