A mathematical interpretation of Dirac's formalism. Part B: Generalized eigenfunctions in trajectory spaces

    Research output: Contribution to journalArticleAcademicpeer-review

    1 Citation (Scopus)
    1 Downloads (Pure)

    Abstract

    Starting with a Hilbert space we introduce the dense subspace where is a positive self-adjoint Hilbert–Schmidt operator on 2(R,µ). For the space a measure-theoretical Sobolev lemma is proved. The results for the spaces of type are applied to nuclear analyticity spaces , where e-t is a Hilbert–Schmidt operator on the Hilbert space X for each t>0. We solve the so-called generalized eigenvalue problem for a general self-adjoint operator in X.
    Original languageEnglish
    Pages (from-to)189-203
    Number of pages15
    JournalReports on Mathematical Physics
    Volume22
    Issue number2
    DOIs
    Publication statusPublished - 1985

    Fingerprint

    Dive into the research topics of 'A mathematical interpretation of Dirac's formalism. Part B: Generalized eigenfunctions in trajectory spaces'. Together they form a unique fingerprint.

    Cite this