Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter
- Nowak, A. 1
- Roncal, L. 2
- 1 Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-956 Warszawa, Poland
-
2
Universidad de La Rioja
info
ISSN: 1439-8516
Year of publication: 2014
Volume: 30
Issue: 3
Pages: 437-444
Type: Article
beta Ver similares en nube de resultadosMore publications in: Acta Mathematica Sinica, English Series
Related Projects
Abstract
The heat kernel in the setting of classical Fourier-Bessel expansions is defined by an oscillatory series which cannot be computed explicitly. We prove qualitatively sharp estimates of this kernel. Our method relies on establishing a connection with a situation of expansions based on Jacobi polynomials and then transferring known sharp bounds for the related Jacobi heat kernel. © 2014 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.