6533b82efe1ef96bd1293eeb

RESEARCH PRODUCT

More wavelet-like orthonormal bases for the lowest Landau level: Some considerations

Fabio Bagarello

subject

Spline (mathematics)Pure mathematicsWaveletGeneral Physics and AstronomyHaarStatistical and Nonlinear PhysicsOrthonormal basisLandau quantizationSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematics

description

In a previous work, Antoine and I (1994) have discussed a general procedure which 'projects' arbitrary orthonormal bases of L2(R) into orthonormal bases of the lowest Landau level. In this paper, we apply this procedure to a certain number of examples, with particular attention to the spline bases. We also discuss Haar, Littlewood-Paley and Journe bases.

10.1088/0305-4470/27/16/023http://hdl.handle.net/10447/198729