论文标题
关于将积极的核扩展到拓扑代数
On the extension of positive definite kernels to topological algebras
论文作者
论文摘要
我们定义了从真实或复杂的设置到拓扑代数的运算符值的确定函数的扩展,并描述了它们相关的繁殖核空间。整个函数的情况是特别感兴趣的,我们为在许多代数中出现的分析功能的某些功率系列扩展提供了精确的含义。
We define an extension of operator-valued positive definite functions from the real or complex setting to topological algebras, and describe their associated reproducing kernel spaces. The case of entire functions is of special interest, and we give a precise meaning to some power series expansions of analytic functions that appears in many algebras.