@inproceedings{838029926e21476aa8df7c32edb8a5f0,
title = "Multivariate complex B-splines",
abstract = "We extend the notion of complex B-splines to a multivariate setting by employing the relationship between ordinary B-splines and multivariate B-splines by means of ridge functions. In order to obtain properties of complex B-splines in ℝs, 1 < s ∈ ℕ, the Dirichlet average has to be generalized to include infinite dimensional simplices. Based on this generalization several identities of multivariate complex B-splines are exhibited.",
keywords = "Complex splines, Dirichlet average, Multivariate splines, Weyl fractional derivative and integral",
author = "Peter Massopust and Brigitte Forster",
year = "2007",
doi = "10.1117/12.736154",
language = "English",
isbn = "9780819468499",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "Wavelets XII",
note = "Wavelets XII ; Conference date: 26-08-2007 Through 29-08-2007",
}