most citedOn the boundary convergence of solutions to the Hermite-Schrödinger equation

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math.CA2018

Analysis in the multi-dimensional ball

Peter Sjögren, Tomasz Z. Szarek

We study the heat semigroup maximal operator associated with a well-known orthonormal system in the d-dimensional ball. The corresponding heat kernel is shown to satisfy Gaussian b…

math.CA2018

Sharp estimates of the spherical heat kernel

Adam Nowak, Peter Sjögren, Tomasz Z. Szarek

We prove sharp two-sided global estimates for the heat kernel associated with a Euclidean sphere of arbitrary dimension. This solves a long-standing open problem.