Scholarlink

We explore properties of two Hilbert spaces of nonabsolutely integrable functions, the Kuelbs-Steadman-2 space (KS-2 space), given in terms of the Henstock-Kurzweil-integral, and the reproducing kernel Hilbert Space of symmetric kernels on this space. The Mercer’s theorem for symmetric kernels of KS-2 space is presented, as a consequence, the representation theorem for the related reproducing kernel Hilbert space is obtained.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Hilbert Spaces of Nonabsolutely Integrable Functions

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Fernanda Andrade da Silva,
  • K. Gonzalez,
  • T. Jordão

摘要

We explore properties of two Hilbert spaces of nonabsolutely integrable functions, the Kuelbs-Steadman-2 space (KS-2 space), given in terms of the Henstock-Kurzweil-integral, and the reproducing kernel Hilbert Space of symmetric kernels on this space. The Mercer’s theorem for symmetric kernels of KS-2 space is presented, as a consequence, the representation theorem for the related reproducing kernel Hilbert space is obtained.