Spectral analysis of the bicomplex magnetic Laplacian-Reference-Cited by-同舟云学术

Spectral analysis of the bicomplex magnetic Laplacian

Published:2024-07 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Ahizoune Issame¹^ORCID,Elgourari Aiad¹^ORCID,Ghanmi Allal²^ORCID

Affiliation:

1. Department of mathematics, Faculty of Sciences, Lab. P.D.E., Algebra and Spectral Geometry Ibn Tofaïl University Kenitra Morocco

2. Department of Mathematics, Faculty of Sciences, Analysis, P.D.E & Spectral Geometry ‐ Lab M.I.A.‐S.I., CeReMAR Mohammed V University in Rabat Rabat Morocco

Abstract

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.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10321

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