New mathematics research from S.K. Ray and colleagues discussed.

Journal of Mathematics | September 29, 2009 | Copyright

According to recent research from Kanpur, India, "In this article we study the Fourier and the horocyclic Radon transform on harmonic N A groups (also known as Damek-Ricci spaces). We consider the geometric Fourier transform for functions on L-p-spaces and prove an analogue of the L-2-restriction theorem."

"We also prove some mixed norm estimates for the Fourier transform generalizing the Hausdorff-Young and Hardy-Littlewood-Paley inequalities. Unlike Euclidean spaces the domains of the Fourier transforms are various strips in the complex plane. All the theorems are ...

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