6533b86dfe1ef96bd12ca13b

RESEARCH PRODUCT

Multi-resolution analysis generated by a seed function

Fabio Bagarello

subject

Mathematics::Functional AnalysisMulti resolution analysisMathematical analysisFOS: Physical sciencesStatistical and Nonlinear PhysicsFunction (mathematics)Landau quantizationMathematical Physics (math-ph)Physics and Astronomy (all)Single electronMathematical PhysicSettore MAT/07 - Fisica MatematicaOrthonormalityEquivalence (measure theory)Mathematical PhysicsMathematics

description

In this paper we use the equivalence result originally proved by the author, which relates a multiresolution analysis (MRA) of ℒ2(R) and an orthonormal set of single electron wave functions in the lowest Landau level, to build up a procedure which produces, starting with a certain square-integrable function, a MRA of ℒ2(R). © 2003 American Institute of Physics.

10.1063/1.1556193http://arxiv.org/abs/0904.2670