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math.CA2024★ 1 cited
New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We obtain sharp estimates for the Jacobi heat kernel in a range of parameters where the result has not been established before. This extends and completes an earlier result due to…
math.CA2007
Boundedness from H^1 to L^1 of Riesz transforms on a Lie group of exponential growth
Peter Sjögren, Maria Vallarino
Let be the Lie group given by the semidirect product of and endowed with the Riemannian symmetric space structure. Let be a distinguished basis of l…