Generalized Gauss–Hermite filtering
✍ Scribed by Hermann Singer
- Book ID
- 106292719
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 746 KB
- Volume
- 92
- Category
- Article
- ISSN
- 1863-8171
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📜 SIMILAR VOLUMES
## An expansion theorem is derived for products of two generalized Hermite-Gauss functions on two arbitrary centers in terms of an orthogonal but otherwise arbitrary set of Hermite functions. Some special cases are considered and the use of the results for the evaluation of all the matrix elements
This paper exends the results presented in Gustafson and Hagler (in press) by explicating the (2n)-point Laurent-Hermite-Gauss quadrature formula of parameters 7, 2 > 0: Jk n,k,jl n,k,j oc j=--1 k=l where the abscissas h~,"£~) and weights H (~'';4 n,~j are given in terms of the abscissas and weight