论文标题

库仑场的基础量子理论的阳性

Positivity of the Invariant Kernel Underlying Quantum Theory of the Coulomb Field

论文作者

Wawrzycki, Jaroslaw

论文摘要

我们提供了不变核的积极性证明,这对于量子库仑田间的Staruszkiewicz理论至关重要。提出的阳性证明与Staruszkiewicz理论无关,并且基于经典的Schoenberg定理,用于有条件负面的确定函数以及广义的Bochner定理。

We present a proof of positivity of an invariant kernel, which is of basic importance for the Staruszkiewicz theory of the quantum Coulomb field. Presented proof of positivity is independent of the Staruszkiewicz theory and is based on the classical Schoenberg's theorem for conditionally negative definite functions, as well as on the generalized Bochner's theorem.

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