2009•Applied and numerical harmonic analysisRequires access

Harmonic Analysis Related to Hermite Expansions

Liliana Forzani, Eleonor Harboure, Roberto Scotto

Abstract

In this chapter we give the state of the art of harmonic analysis associated with mainly two orthogonal systems: Hermite polynomials and Hermite functions. For the sake of understanding the global part of several operators appearing within the context of Hermite polynomials we give in some details our contributions on the subject.

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Key concepts: Hermite polynomials, Hermite spline, Cubic Hermite spline, Orthogonal polynomials, Hermite interpolation, Context (archaeology), Mathematics, Harmonic