English

Complex Box Splines

Functional Analysis 2023-09-06 v1

Abstract

The novel concept of box spline of complex degree is introduced and several of its properties derived and discussed. These box splines of complex degree generalize and extend the classical box splines. Relations to a class of fractional derivatives defined on certain function spaces are also exhibited.

Keywords

Cite

@article{arxiv.2309.02131,
  title  = {Complex Box Splines},
  author = {Fabio Marcelo Carvalho dos Santos and Peter Massopust},
  journal= {arXiv preprint arXiv:2309.02131},
  year   = {2023}
}
R2 v1 2026-06-28T12:12:59.259Z