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
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2
Universidad de La Rioja
info
ISSN: 1439-8516
Année de publication: 2014
Volumen: 30
Número: 3
Pages: 437-444
Type: Article
beta Ver similares en nube de resultadosD'autres publications dans: Acta Mathematica Sinica, English Series
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Résumé
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.