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Characterization for the spectrum of the hypergeometric Fourier transform in terms of the generalized resolvent function
Journal article

Characterization for the spectrum of the hypergeometric Fourier transform in terms of the generalized resolvent function

Hatem Mejjaoli
Journal of pseudo-differential operators and applications, Vol.8(2), pp.319-340
01/06/2017
DOI: https://doi.org/10.1007/s11868-016-0152-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the generalized Poisson's equation associated with Heckman-Opdam Laplacian operator. We introduce and we study the generalized resolvent function associated to the equation. Next, we characterize the spectrum of the hypergeometric Fourier transform via the generalized resolvent function.

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