8 citations · 8 across the 1 of their papers we have counts for
3 papers
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.
math.AP2009★ 8 cited
On the boundary convergence of solutions to the Hermite-Schrödinger equation
Peter Sjögren, J. L. Torrea
In the half-space , we consider the Hermite-Schrödinger equation , with given boundary values on $\mathbb…