Wick幂级数的检验函数空间
Test Function Space for Wick Power Series
摘要：
我们得到一个准则，这是方便的应用程序，并准确地描述了测试功能空间上的一个给定的一系列的Wick幂的自由场的算子实现是可能的。建议的推导不使用假设的状态空间的度规是积极的，因此可以使用在规范理论。它是基于系统地使用的分析性质的希尔伯特优势的不定度量和应用一个合适的定理的无条件收敛系列的边界值的解析函数。
英文摘要：
We derive a criterion that is convenient for applications and exactly characterizes the test function space on which the operator realization of a given series of Wick powers of a free field is possible. The suggested derivation does not use the assumption that the metric of the state space is positive and can therefore be used in a gauge theory. It is based on the systematic use of the analytic properties of the Hilbert majorant of the indefinite metric and on the application of a suitable theorem on the unconditional convergence of series of boundary values of analytic functions.
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