Semantic Scholar Open Access 2012 229 sitasi

On q-analogues of the Fourier and Hankel transforms

T. Koornwinder Rene F. Swarttouw

Lihat Sumber DOI

Abstrak

For H. Exton's q-analogue of the Bessel function (going back to W. Hahn in a special case, but different from F. H. Jackson's q-Bessel functions) we derive Hansen-Lommel type orthogonality relations, which, by a symmetry, turn out to be equivalent to orthogonality relations which are q-analogues of the Hankel integral transform pair. These results are implicit, in the context of quantum groups, in a paper by Vaksman and Korogodskii. As a specialization we get q-cosines and q-sines which admit q-analogues of the Fourier-cosine and Fourier-sine transforms

Topik & Kata Kunci

Mathematics

Penulis (2)

T. Koornwinder

Rene F. Swarttouw

Format Sitasi

APA MLA BibTeX

Koornwinder, T., Swarttouw, R.F. (2012). On q-analogues of the Fourier and Hankel transforms. https://doi.org/10.1090/S0002-9947-1992-1069750-0

Akses Cepat

Lihat di Sumber doi.org/10.1090/S0002-9947-1992-1069750-0

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Total Sitasi: 229×
Sumber Database: Semantic Scholar
DOI: 10.1090/S0002-9947-1992-1069750-0
Akses: Open Access ✓