On the Bochner Laplacian operator on theta line bundle over quasi-tori

DOI10.1080/03605302.2020.1774894zbMath1459.58011OpenAlexW3035388399MaRDI QIDQ4966062

Ahmed Intissar, Mohammed Ziyat

Publication date: 18 March 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2020.1774894

zbMATH Keywords

theta functionsmagnetic Laplaciantheta line bundlequasi-tori

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items (2)

Spectral asymptotics for the Landau Hamiltonian on cylindrical surfaces ⋮ Coherent state transform for Landau levels on quasi-tori

Cites Work

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• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Adjoint linear series on weakly 1-complete Kähler manifolds. II: Lefschetz type theorem on quasi-Abelian varieties
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Periodic meromorphic functions
• Explicit formulas for reproducing kernels of generalized Bargmann spaces on Cn
• True Bargmann transforms for rank one automorphic functions associated with Landau levels
• Landau automorphic functions on Cn of magnitude ν
• Toroidal groups. Line bundles, cohomology and quasi-Abelian varieties

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