1997•Studia MathematicaOpen access

Hermite and Laguerre wave packet expansions

Jay B Epperson

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Abstract

This paper describes expansions in terms of Hermite and Laguerre functions similar to the Frazier-Jawerth expansion in Fourier analysis. The wave packets occurring in these expansions are finite linear combinations of Hermite and Laguerre functions. The S

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What this paper is about

This paper describes expansions in terms of Hermite and Laguerre functions similar to the Frazier-Jawerth expansion in Fourier analysis. The wave packets occurring in these expansions are finite linear combinations of Hermite and Laguerre functions. The S

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Available abstract

This paper describes expansions in terms of Hermite and Laguerre functions similar to the Frazier-Jawerth expansion in Fourier analysis. The wave packets occurring in these expansions are finite linear combinations of Hermite and Laguerre functions. The S

Key concepts: Laguerre polynomials, Hermite polynomials, Mathematics, Wave packet, Laguerre's method, Fourier series, Fourier transform, Mathematical analysis

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