English

Annihilation Operators for Exponential Spaces in Subdivision

Numerical Analysis 2021-05-21 v2 Numerical Analysis

Abstract

We investigate properties of differential and difference operators annihilating certain finite-dimensional subspaces of exponential functions in two variables that are connected to the representation of real-valued trigonometric and hyperbolic functions. Although exponential functions appear in a variety of contexts, the motivation behind this work comes from considering subdivision schemes with the capability of preserving those exponential functions required for an exact description of surfaces parametrized in terms of trigonometric and hyperbolic functions.

Keywords

Cite

@article{arxiv.2012.09485,
  title  = {Annihilation Operators for Exponential Spaces in Subdivision},
  author = {Costanza Conti and Sergio Lopez-Urena and Lucia Romani},
  journal= {arXiv preprint arXiv:2012.09485},
  year   = {2021}
}

Comments

7 page, short note

R2 v1 2026-06-23T21:02:34.968Z