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Analysis Related to All Admissible Type Parameters in the Jacobi Setting

Analysis Related to All Admissible Type Parameters in the Jacobi Setting

We derive an integral representation for the Jacobi–Poisson kernel valid for all admissible type parameters $$\alpha ,\beta $$ in the context of Jacobi expansions. This enables us to develop a technique for proving standard estimates in the Jacobi setting that works for all possible $$\alpha $$ and $$\beta $$ . …