We study the fractional Laplacian (− Δ) σ/2 on the n-dimensional torus 𝕋 n, n≥ 1. First, we
present a general extension problem that describes any fractional power L γ, γ> 0, where L …

We will prove an analogue of Landauʼs necessary conditions [HJ Landau, Necessary
density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 …

Fourier–Bessel heat kernel estimates - ScienceDirect Skip to main contentSkip to article
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In this paper we study the Bessel process R t (μ) R_t^(μ) with index μ≠ 0 starting from x> 0
and killed when it reaches a positive level a, where x> a> 0. We provide sharp estimates of …

We prove qualitatively sharp heat kernel bounds in the setting of Fourier-Bessel expansions
when the associated type parameter 𝑣 is half-integer. Moreover, still for half-integer 𝑣, we …

Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group - Fanelli - 2023 -
Bulletin of the London Mathematical Society - Wiley Online Library Skip to Article Content Skip …

arxiv:2104.14974v1 [math.CA] 30 Apr 2021 Page 1 VARIATION OPERATORS FOR
SEMIGROUPS ASSOCIATED WITH FOURIER-BESSEL EXPANSIONS JJ BETANCOR, AJ …

We study Hardy spaces for Fourier-Bessel expansions associated with Bessel operators on
((0, 1), x^ 2 ν+ 1 dx) and ((0, 1), dx). We define Hardy spaces H 1 as the sets of L 1-functions …

We study the problem of an appropriate choice of derivatives associated with discrete
Fourier–Bessel expansions. We introduce a new so-called essential measure Fourier …

We investigate g-functions based on semigroups related to multi-dimensional Laguerre
function expansions of convolution type. We prove that these operators can be viewed as …