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<p>We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more explicit description of the quadratic forms of the sandwiched semigroups in terms of pairs consisting of an open set and a measure on an abstract boundary.</p>

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Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月3日

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  • Matthias Keller,
  • Daniel Lenz,
  • Marcel Schmidt,
  • Michael Schwarz,
  • Melchior Wirth

摘要

We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more explicit description of the quadratic forms of the sandwiched semigroups in terms of pairs consisting of an open set and a measure on an abstract boundary.