Benedick's theorem for the Heisenberg group
classification
🧮 math.FA
keywords
groupfunctionheisenberglambdabenedickcompactlyfinitefourier
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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.
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