New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula
Journal article, 2026
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 the authors. The proof is based on a generalization of the Dijksma–Koornwinder product formula for Jacobi polynomials.
Author
Adam Nowak
Polish Academy of Sciences
Peter Sjögren
Chalmers, Mathematical Sciences
University of Gothenburg
Tomasz Szarek
University of Georgia
University of Wrocław
Constructive Approximation
0176-4276 (ISSN) 1432-0940 (eISSN)
Vol. 63 623-645Subject Categories (SSIF 2025)
Discrete Mathematics
Mathematical sciences
DOI
10.1007/s00365-026-09734-x