Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter

  1. Nowak, A. 1
  2. Roncal, L. 2
  1. 1 Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-956 Warszawa, Poland
  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Acta Mathematica Sinica, English Series

ISSN: 1439-8516

Année de publication: 2014

Volumen: 30

Número: 3

Pages: 437-444

Type: Article

DOI: 10.1007/S10114-014-2512-1 SCOPUS: 2-s2.0-84893574316 WoS: WOS:000330999700006 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Acta Mathematica Sinica, English Series

Projets liés

Ortogonalidad y aproximación: teoría y aplicaciones en ciencia y tecnología

2013/00004/001

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.