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The heat equation associated with Laguerre operator
Journal article   Peer reviewed

The heat equation associated with Laguerre operator

Miloud Assal
Integral transforms and special functions, Vol.25(12), pp.969-975
02/12/2014
DOI: https://doi.org/10.1080/10652469.2014.955098

Abstract

Fourier-Laguerre transform heat equation pseudo-differential operators Sobolev spaces
In this paper we study a generalized Sobolev spaces H s of exponential type associated with Laguerer operator based on the space of test functions and employ its properties further to estimate the heat equation's solution in the setting of the Laguerre hypergroup .

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