Abstract The γ -quantum product of white noise operators which is the generalization of the γ -product, is introduced on the basis of the analytic characterization theorem for operator symbols established within the framework of white noise distribution theory. Existence and uniqueness of solutions are proved for a certain class of ordinary differential equations for Fock space operators.

中文翻译：

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白噪声算子的γ-量子乘积及其应用

摘要 在白噪声分布理论框架内建立的算子符号解析表征定理的基础上，引入了白噪声算子的γ-量子乘积，即γ-积的推广。证明了Fock空间算子的某类常微分方程解的存在唯一性。