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Finite zero products of Toeplitz operators with harmonic symbols

Liu, Youqi et al.
arXiv (All) · Papers
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functional-analysisoperator-algebras
We study finite products of Toeplitz operators with harmonic symbols on the Fock space over the complex plane. If every symbol has the form $f+\overline g$, where $f$ and $g$ are entire functions of exponential type, we prove that a finite product vanishes if and only if one symbol vanishes identica
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