English

Non-symmetric Convex Polytope and Gabor Orthonormal Bases

Functional Analysis 2018-06-21 v5 Classical Analysis and ODEs

Abstract

In this paper, we show that the non-symmetric convex polytope cannot be served as a window function to produce a Gabor orthonormal basis by any time-frequency sets.

Keywords

Cite

@article{arxiv.1711.10569,
  title  = {Non-symmetric Convex Polytope and Gabor Orthonormal Bases},
  author = {Randolf Chung and Chun-Kit Lai},
  journal= {arXiv preprint arXiv:1711.10569},
  year   = {2018}
}

Comments

In-press for Proc. Amer. Math Soc