Fast structured Jacobi-Jacobi transforms

Titchmarsh theorem for Jacobi Dini-Lipshitz functions

Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lip...

Hardy-type inequalities for integral transforms associated with Jacobi operator

We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by using Hardy-type inequalities for a class of integral operators.

The Kunze-stein Phenomenon Associated with Jacobi Transforms

Recently A. D. Ionescu (2000) established the endpoint estimate for the Kunze-Stein phenomenon, which states that if G is a noncompact connected semisimple Lie group of real rank one with finite center, then L(G) ∗ L(G) ⊆ L2,∞(G). In this paper, we will prove the corresponding result for the Jacobi transform. Our method is analytical, in which we do not use the structure of Lie groups.

Jacobi Solver: A Fast FPGA-based Engine System for Jacobi Method

The classical Jacobi method is widely used for solving linear systems. This method is considerably timeconsuming to compute millions upon millions of linear equations. In this study, we design a novel FPGA-based Jacobi Solver. The kernel of the Jacobi Solver is a pipeline-friendly iteration algorithm which can eliminate the data dependence between iteration steps. This algorithm is suitable for...

Two modified Jacobi methods for M-matrices