Pseudo-differential operators associated with Laguerre hypergroups

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摘要

In this paper we consider the generalized shift operator generated from the Laguerre hypergroup; by means of this, pseudo-differential operators are investigated and Sobolev-boundedness results are obtained.

论文关键词：42B10,42B35,Laguerre hypergroups,Generalized Sobolev spaces,Fourier–Laguerre transform,Pseudo-differential operators

论文评审过程：Received 1 October 2007, Available online 25 February 2009.

论文官网地址：https://doi.org/10.1016/j.cam.2009.02.028