An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games

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Abstract

We prove an analogue of Bonami's (hypercontractive) lemma for complex-valued functions on L ( , ), where and are vector spaces over a finite field. This inequality is useful for functions on L ( , ) whose 'generalised influences' are small, in an appropriate sense.

Original languageEnglish
Title of host publicationSTOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing
EditorsBarna Saha, Rocco A. Servedio
Pages656-660
Number of pages5
ISBN (Electronic)9781450399135
DOIs
StatePublished - 2 Jun 2023
Event55th Annual ACM Symposium on Theory of Computing, STOC 2023 - Orlando, United States
Duration: 20 Jun 202323 Jun 2023

Publication series

NameProceedings of the Annual ACM Symposium on Theory of Computing

Conference

Conference55th Annual ACM Symposium on Theory of Computing, STOC 2023
Country/TerritoryUnited States
CityOrlando
Period20/06/2323/06/23

Keywords

  • Boolean functions
  • Fourier
  • Games
  • Hypercontractivity

All Science Journal Classification (ASJC) codes

  • Software

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