Skip to content
DraconiticResearch
Search Sources API
197,688 studies31 sourcesUpdated 13 min ago
PreprintCC BY 4.0arXiv

Sets with no Riesz bases of exponentials

  • Zhiqiang Wan
Open at sourcePDFDOICite

Abstract

We prove that sets in a certain class do not admit Riesz bases of exponentials. In particular, this class contains disks and triangles in the plane.

Related

  1. There are no Riesz bases of exponentials in balls and triangles
    Joaquim Ortega-Cerdà
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  2. Near-Riesz and pseudo-Riesz bases of Hilbert C*-modules and semi-C*-Fredholm operators
    Michael Frank, Stefan Ivkovic
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  3. B-Frames, B-Riesz bases, and Their tensor products
    Abdelkrim Bourouihiya, Chaimae Mezzat
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. Schauder and Riesz Bases for Higher-Dimensional Lebesgue Spaces Inspired by ReLU Neural Networks
    Julian Billner, Cornelia Schneider
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryAnalysis & PDEsarXiv
  5. Strongly small-2 sets that are not Riesz sets on compact abelian groups
    Przemysław Ohrysko
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{wan2026sets,
  title = {{Sets with no Riesz bases of exponentials}},
  author = {Zhiqiang Wan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16674},
  eprint = {2609.16674},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16674},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Sets with no Riesz bases of exponentials
AU  - Zhiqiang Wan
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16674
UR  - https://arxiv.org/abs/2609.16674
AB  - We prove that sets in a certain class do not admit Riesz bases of exponentials. In particular, this class contains disks and triangles in the plane.
ER  -