36 citations · 155 across the 25 of their papers we have counts for
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math.CA2012★ 7 cited
Potential operators associated with Jacobi and Fourier-Bessel expansions
Adam Nowak, Luz Roncal
We study potential operators (Riesz and Bessel potentials) associated with classical Jacobi and Fourier-Bessel expansions. We prove sharp estimates for the corresponding potential…
math.CA2012★ 7 cited
Analysis related to all admissible type parameters in the Jacobi setting
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We derive an integral representation for the Jacobi-Poisson kernel valid for all admissible type parameters in the context of Jacobi expansions. This enables us to develop a…
math.CA2012★ 1 cited
Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter
Adam Nowak, Luz Roncal
The heat kernel in the setting of classical Fourier-Bessel expansions is defined by an oscillatory series which cannot be computed explicitly. We prove qualitatively sharp estimate…