# Invertibility in the flag kernels algebra on the Heisenberg group

Source: [Invertibility in the flag kernels algebra on the Heisenberg group](<https://www.sota2.com/research/paper/68fa51731e209131ce973e0c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T11:24:18.950Z

Authors: Grzegorz K\\k{e}pa

Published: 2015-01-29T08:21:01.000Z

## Abstract

Flag kernels are tempered distributions which generalize these of Calderon-Zygmund type. For any homogeneous group $\\mathbb{G}$ the class of operators which acts on $L^{2}(\\mathbb{G})$ by convolution with a flag kernel is closed under composition. In the case of the Heisenberg group we prove the inverse-closed property for this algebra. It means that if an operator from this algebra is invertible on $L^{2}(\\mathbb{G})$, then its inversion remains in the class.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1501.07372>)

[PDF](<https://arxiv.org/pdf/1501.07372.pdf>)