Boundary values of holomorphic semigroups

Wolfgang Arendt*, Omar El Mennaoui, Matthias Georg Hieber

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


The concept of boundary values of holomorphic semigroups is used to give a new proof of a result due to Hörmander, saying that the operator iΔ generates a C0-semigroup on LP(ℝN) if and only if p = 2. Using a recent result on Laplace transforms by Prüss one obtains by this theory also a new proof of the classical characterization theorem of holomorphic semigroups.

Original languageEnglish
Pages (from-to)635-637
Number of pages3
JournalProceedings of the American Mathematical Society
Issue number3
Publication statusPublished - 1997
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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