Heat and resolvent kernels and a fundamental solution for the octonionic Heisenberg Laplacian
Serdica Mathematical Journal, Tome 47 (2022) no. 4, pp. 317-342
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We give an integral representation of the fundamental solution of the heat and resolvent equations associated to the Kohn's Laplacian on the octonionic Heisenberg group. Moreover, the fundamental solution for the octonionic Heisenberg Laplacian is found.
Keywords:
Octonionic Heisenberg group, Kohn's Laplacian, fundamental solution, heat kernel, resolvent kernel, Whittaker function, 22E25, 22E30, 35K08
@article{SMJ2_2022_47_4_a4,
author = {Askour, Nour and Mouhcine, Zakariyae},
title = {Heat and resolvent kernels and a fundamental solution for the octonionic {Heisenberg} {Laplacian}},
journal = {Serdica Mathematical Journal},
pages = {317--342},
year = {2022},
volume = {47},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2022_47_4_a4/}
}
TY - JOUR AU - Askour, Nour AU - Mouhcine, Zakariyae TI - Heat and resolvent kernels and a fundamental solution for the octonionic Heisenberg Laplacian JO - Serdica Mathematical Journal PY - 2022 SP - 317 EP - 342 VL - 47 IS - 4 UR - http://geodesic.mathdoc.fr/item/SMJ2_2022_47_4_a4/ LA - en ID - SMJ2_2022_47_4_a4 ER -
Askour, Nour; Mouhcine, Zakariyae. Heat and resolvent kernels and a fundamental solution for the octonionic Heisenberg Laplacian. Serdica Mathematical Journal, Tome 47 (2022) no. 4, pp. 317-342. http://geodesic.mathdoc.fr/item/SMJ2_2022_47_4_a4/