arXiv Open Access 2013

From Fourier to Gegenbauer: Dimension walks on spheres

Jochen Fiedler

Lihat Sumber

Abstrak

We show that the even- resp. odd-dimensional Schoenberg coefficients in Gegenbauer expansions of isotropic positive definite functions on the d-sphere can be expressed as linear combinations of Fourier resp. Legendre coefficients, and we give closed form expressions for the coefficients involved in these expansions.

Topik & Kata Kunci

math.ST

Penulis (1)

Jochen Fiedler

Format Sitasi

APA MLA BibTeX

Fiedler, J. (2013). From Fourier to Gegenbauer: Dimension walks on spheres. https://arxiv.org/abs/1303.6856

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓