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July 23, 2026Journal of the Institute of Mathematics of JussieuOpen Access

Noncommutative Cotlar Identities for Groups Acting on Tree-Like Structures

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Authors

AGAdrian Gonzalez-PerezJPJavier ParcetRXRunlian Xia

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Overview

Randomized trial examines bounding noncommutative Fourier multipliers in group actions on trees, indicating applications in functional analysis.

Key Points

  • This work aims to explore generalized Cotlar-type identities in noncommutative settings related to free groups.
  • Studied noncommutative Fourier multipliers using geometric arguments.
  • Developed a closed characterization of Cotlar identities based on multiplier properties.
  • Analyzed the boundedness of multipliers on noncommutative Lp-spaces.
  • Established conditions under which noncommutative Fourier multipliers are bounded.
  • Demonstrated a characterization of Cotlar-type identities applicable to groups acting on trees.
  • Found a specific equality relating multipliers and elements of the group.

Cite This Study

Gonzalez-Perez et al. (2026) studied this question.

synapsesocial.com/papers/6a61ae6bfaa9903c51169a8dhttps://doi.org/10.1017/s1474748026101868
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