# Benedick's theorem for the Heisenberg group

Source: [Benedick's theorem for the Heisenberg group](<https://www.sota2.com/research/paper/68fa4e441e209131ce95af5e>)

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

Data updated: 2025-10-28T13:55:15.365Z

Authors: E. K. Narayanan, P. K. Ratnakumar

Published: 2009-09-09T04:22:50.000Z

## Abstract

If $f$ is a compactly supported function on the Heisenberg group and the group Fourier transform $\\hat{f}(\\lambda)$ is a finite rank operator for all $\\lambda$ then $f$ is the zero function.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0909.1620>)

[PDF](<https://arxiv.org/pdf/0909.1620.pdf>)