Annihilation operators for exponential spaces in subdivision

作者：

Highlights：

• We study differential and difference operators annihilating certain finite-dimensional spaces of exponential functions.

• We use the difference operators as annihilation operators for the automatic detection of the unknown exponential frequencies.

• We explain that subdivision rules that guarantee the preservation of exponential polynomials rely on the definition of such annihilation operators.

• We show how to use these annihilation operators in subdivision schemes.

摘要

•We study differential and difference operators annihilating certain finite-dimensional spaces of exponential functions.•We use the difference operators as annihilation operators for the automatic detection of the unknown exponential frequencies.•We explain that subdivision rules that guarantee the preservation of exponential polynomials rely on the definition of such annihilation operators.•We show how to use these annihilation operators in subdivision schemes.

论文关键词：Subdivision scheme,Exponential function preservation,Difference operator annihilating exponentials

论文评审过程：Received 14 July 2021, Revised 4 October 2021, Accepted 8 November 2021, Available online 26 November 2021, Version of Record 26 November 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126796