Criticality and subcriticality of generalized schrödinger forms

Masayoshi Takeda

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Let ɛ be a Dirichlet form and μ a positive Kato mea- sure. We define criticality and subcriticality for the Schrödinger form, ɛ(·, ·) + (·, ·)μ, through h-transform. For a certain potential μ, an analytic characterization of these properties is given in terms of the bottom of spectrum.

Original languageEnglish
Pages (from-to)251-277
Number of pages27
JournalIllinois Journal of Mathematics
Volume58
Issue number1
Publication statusPublished - 2014 Mar 1

ASJC Scopus subject areas

  • Mathematics(all)

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