q ^{2}convolution and its q ^{2}Fourier transform
Abstract
The functions on the lattice generated by the integer degrees of q ^{2} are considered, 0< q<1. The q ^{2}shift operator is defined. The multiplicators and the q ^{2}convolutors are defined in the functional spaces which are dual with respect to the q ^{2}Fourier transform. The q ^{2}analog of convolution of two q ^{2}distributions is constructed. The q ^{2}analog of an arbitrary order derivative is introduced.
 Publication:

Czechoslovak Journal of Physics
 Pub Date:
 November 2000
 DOI:
 10.1023/A:1022841914639
 arXiv:
 arXiv:math/0010094
 Bibcode:
 2000CzJPh..50.1347R
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 17 pages, Latex