Abstract
We study the commuting problem of Toeplitz operators on the Fock space over \(\mathbb {C}^n\). Given a separately radial polynomial \(\varphi \) in \(z\) and \(\bar{z}\), we characterize polynomially bounded functions \(\psi \) such that the operators \(T_{\psi }\) and \(T_{\varphi }\) commute. Several examples and consequences are discussed.
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