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Discrete pseudo‐differential operators in hypercomplex analysis.

Authors :
Cerejeiras, Paula
Kaehler, Uwe
Lucas, Simão
Source :
Mathematical Methods in the Applied Sciences. Jul2024, Vol. 47 Issue 10, p8025-8041. 17p.
Publication Year :
2024

Abstract

In this paper we discuss discrete pseudo‐differential operators in the context of hypercomplex analysis. We will provide the definitions and establish the necessary calculus which will be used to discuss questions like boundedness and compactness of operators. In the end, we will discuss well‐known examples from hypercomplex analysis as well as give new examples including discrete Dirac operators with non‐constant coefficients. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
10
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
177678511
Full Text :
https://doi.org/10.1002/mma.7881