Sectorial Hamiltonians without zero resonance in one dimension

Vladimir Georgiev, Anna Rita Giammetta

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

We consider a 1-D Laplace operator with short range potential W (x) and study sectorial properties and resolvent estimates associated with this perturbed Laplacian. It is shown that non resonance assumption at zero and sufficiently fast decay of the potential at infinity guarantee that the Hamiltonian is a sectorial operator in Lp for 1 < p ≤ ∞.

Original languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages225-237
Number of pages13
DOIs
Publication statusPublished - 2016
Externally publishedYes

Publication series

NameContemporary Mathematics
Volume666
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Keywords

  • Sectorial operators
  • Zero resonances

ASJC Scopus subject areas

  • Mathematics(all)

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