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Lμp-spectra of pseudo-differential operators associated with the Bessel operator
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2021-02-19 , DOI: 10.1016/j.bulsci.2021.102960
S.K. Upadhyay , Pragya Shukla

In this paper, the characterizations of the Lμp-spectra of pseudo-differential operators associated with the Bessel operator are investigated by exploiting the theory of the Hankel transform for 1p<. Some applications related to the essential spectrum of pseudo-differential operators involving the Hankel transform in the Sobolev space, and in the heat equation are given.



中文翻译:

大号μp贝塞尔算子相关的伪微分算子的谱

在本文中, 大号μp利用Hankel变换理论研究了与Bessel算子相关的伪微分算子的谱。 1个p<。给出了与涉及Sobolev空间和热方程的Hankel变换的伪微分算子的基本谱有关的一些应用。

更新日期:2021-02-25
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