Sharp Heat Kernel Estimates in the Fourier-Bessel Setting for a Continuous Range of the Type Parameter

被引：11
|
作者：
Nowak, Adam [1 ]
Roncal, Luz [2 ]
机构：
[1] Polish Acad Sci, Inst Matemat, PL-00956 Warsaw, Poland
[2] Univ La Rioja, Dept Matmat & Computac, Logrono 26004, Spain
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 03期
关键词：
Fourier-Bessel expansions; heat kernel; Bessel process; transition density;
D O I：
10.1007/s10114-014-2512-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：437 / 444
页数：8
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