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 ‐eigenspaces when acting on the so‐called bicomplex p‐Hilbert space. The common eigenfunction problem for the bc‐magnetic Laplacian and its ‐conjugate is also tackled. The corresponding eigenspaces are described and the explicit expression of their reproducing kernels is given.
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Ahizoune et al. (2024) studied this question.
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