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PreprintCC0arXiv

Another Application of the Alternating Map: Time-and-Band Limiting

  • Lucas Tertuliano da Silva
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Abstract

We use Castillo's dual formulation of classicality for the alternating map to reduce polynomial time-and-band limiting to two scalar problems. The reconstruction preserves polynomial cutoffs, multipliers and concentration forms. It recovers the symmetric Dunkl constructions of Castro and Grünbaum and applies to continuous and discrete inputs. Scalar recurrences avoid moment factorizations; positive integrals and residual bounds control the accuracy of the concentration values.

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Cite

BibTeXRIS
BibTeX
@misc{silva2026another,
  title = {{Another Application of the Alternating Map: Time-and-Band Limiting}},
  author = {Lucas Tertuliano da Silva},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01839},
  eprint = {2611.01839},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01839},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Another Application of the Alternating Map: Time-and-Band Limiting
AU  - Lucas Tertuliano da Silva
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01839
UR  - https://arxiv.org/abs/2611.01839
AB  - We use Castillo's dual formulation of classicality for the alternating map to reduce polynomial time-and-band limiting to two scalar problems. The reconstruction preserves polynomial cutoffs, multipliers and concentration forms. It recovers the symmetric Dunkl constructions of Castro and Grünbaum and applies to continuous and discrete inputs. Scalar recurrences avoid moment factorizations; positive integrals and residual bounds control the accuracy of the concentration values.
ER  -