| Autor: |
Ahizoune, Issame, Elgourari, Aiad, Ghanmi, Allal |
| Zdroj: |
Mathematical Methods in the Applied Sciences; 1/15/2025, Vol. 48 Issue 1, p176-188, 13p |
| Abstrakt: |
The bicomplex magnetic Laplacian (shortly bc‐magnetic Laplacian) is defined as a couple of magnetic Laplacians on two separate complex planes. In the present paper, we provide an explicit characterization of its L2$$ {L}^2 $$‐eigenspaces when acting on the so‐called bicomplex p‐Hilbert space. The common eigenfunction problem for the bc‐magnetic Laplacian and its †$$ \dagger $$‐conjugate is also tackled. The corresponding eigenspaces are described and the explicit expression of their reproducing kernels is given. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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