Laboratory of Modeling and Mathematical Structures
Department of Mathematics
Faculty of Science and Technology of Fez, Box 2202
University S. M. Ben Abdellah
Fez, Morocco
email: zakariyaemouhcine@gmail.com
Zakariyae Mouhcine
Abstract:
In this article, we give an integral representation of the resolvent kernel on H-type groups,
then we derive an integral representation of Kaplan's fundamental solution on this groups.
Also we obtain the Green kernel for fractional powers of its sub-Laplacian.
Submitted December 7, 2021. Published May 19, 2022.
Math Subject Classifications: 22E25, 22E30, 35K08.
Key Words: H-type groups; sub-Laplacian; resolvent kernel; Green kernel; Whittaker function.
DOI: https://doi.org/10.58997/ejde.2022.39
Show me the PDF file (324 KB), TEX file for this article.
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Zakariyae Mouhcine Laboratory of Modeling and Mathematical Structures Department of Mathematics Faculty of Science and Technology of Fez, Box 2202 University S. M. Ben Abdellah Fez, Morocco email: zakariyaemouhcine@gmail.com |
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