论文标题

伊万诺夫之后的多维指示器的三角凸度

Trigonometric Convexity for the Multidimensional Indicator after Ivanov

论文作者

Mkrtchyan, Aleksandr, Vagharshakyan, Armen

论文摘要

伊万诺夫(Ivanov)之后的多维指标是指标概念的概括,这是一个复杂变量中的分析函数众所周知,是几个复杂变量中的分析函数。我们证明了三角凸的类似物。此外,我们表明我们的估计值很清晰。证明基于部门傅立叶反演公式的多维类似物。

Multidimensional indicator after Ivanov is a generalization of the notion of indicator, that is well-known for analytic functions in one complex variable, to analytic functions in several complex variables. We prove an analogue of trigonometric convexity for it. Additionally, we show that our estimate is sharp. The proof is based on the multidimensional analogue of the sectorial Fourier inversion formula.

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