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
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     title = {Heat and resolvent  kernels and a fundamental solution for the octonionic {Heisenberg} {Laplacian}},
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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/