Fourier-Bessel heat kernel estimates

被引:16
|
作者
Malecki, Jacek [1 ]
Serafin, Grzegorz [1 ]
Zorawik, Tomasz [1 ]
机构
[1] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Ul Wybrzeie Wyspianskiego 27, PL-50370 Wroclaw, Poland
关键词
Fourier-Bessel heat kernel; Sharp estimate; Bessel process; Transition density; SHARP HEAT; TRANSPLANTATION; BOUNDS;
D O I
10.1016/j.jmaa.2016.02.051
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We provide sharp two-sided estimates of the Fourier Bessel heat kernel and we give sharp two-sided estimates of the transition probability density for the Bessel process in (0, 1) killed at 1 and killed or reflected at 0. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:91 / 102
页数:12
相关论文
共 50 条
  • [31] The Fourier-Bessel transcendents with several variables
    Akimoff
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1917, 165 : 1100 - 1103
  • [32] Fourier-Bessel beams of finite energy
    Kotlyar, V. V.
    Kovalev, A. A.
    Kalinkina, D. S.
    Kozlova, E. S.
    COMPUTER OPTICS, 2021, 45 (04) : 506 - +
  • [33] The convergence of multidimensional Fourier-Bessel series
    Balodis, P
    Córdoba, A
    JOURNAL D ANALYSE MATHEMATIQUE, 1999, 77 (1): : 269 - 286
  • [34] The convergence of multidimensional fourier-bessel series
    P. Balodis
    A. Córdoba
    Journal d’Analyse Mathématique, 1999, 77 : 269 - 286
  • [35] FOURIER-BESSEL RECONSTRUCTION OF HELICAL ASSEMBLIES
    Diaz, Ruben
    Rice, William J.
    Stokes, David L.
    METHODS IN ENZYMOLOGY, VOL 482: CRYO-EM, PART B: 3-D RECONSTRUCTION, 2010, 482 : 131 - 165
  • [36] Canonical Fourier-Bessel transform and their applications
    Sami Ghazouani
    Jihed Sahbani
    Journal of Pseudo-Differential Operators and Applications, 2023, 14
  • [37] On Fourier-Bessel matrix transforms and applications
    Abdalla, Mohamed
    Boulaaras, Salah
    Akel, Mohamed
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (14) : 11293 - 11306
  • [38] ON FOURIER-BESSEL REPRESENTATION FOR HELICITY AMPLITUDES
    LUMING, M
    PREDAZZI, E
    NUOVO CIMENTO A, 1966, 42 (04): : 878 - +
  • [39] FOURIER-BESSEL TRANSFORMS OF HELICITY AMPLITUDES
    KAMAL, AN
    LETTERE AL NUOVO CIMENTO, 1972, 5 (01): : 51 - &
  • [40] The Gibbs phenomenon in Fourier-Bessel series
    Wilton, JR
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1928, 159 (1/4): : 144 - 153