On $L^2$-eigenfunctions of Twisted Laplacian on curved surfaces and suggested orthogonal polynomials

Allal Ghanmi

On $L^2$-eigenfunctions of Twisted Laplacian on curved surfaces and suggested orthogonal polynomials

Spectral Theory 2011-10-04 v1

Authors: Allal Ghanmi

Abstract

We show in a unified manner that the factorization method describes completely the $L^2$ -eigenspaces associated to the discrete part of the spectrum of the twisted Laplacian on constant curvature Riemann surfaces. Subclasses of two variable orthogonal polynomials are then derived and arise by successive derivations of elementary complex valued functions depending on the geometry of the surface.

Keywords

twisted Laplacian L^2-eigenspaces factorization method Riemann surfaces orthogonal polynomials

Cite

@article{arxiv.1003.5501,
  title  = {On $L^2$-eigenfunctions of Twisted Laplacian on curved surfaces and suggested orthogonal polynomials},
  author = {Allal Ghanmi},
  journal= {arXiv preprint arXiv:1003.5501},
  year   = {2011}
}

Comments

This will appear in the Proceeding of ICOAA08 that will be published by the Journal of Operators and Matrices.

On $L^2$-eigenfunctions of Twisted Laplacian on curved surfaces and suggested orthogonal polynomials

Abstract

Keywords

Cite

Comments

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