• Sobolev spaces associated to the harmonic oscillator

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/116/03/0337-0360

    • Keywords

       

      Hermite operator; potential spaces; Riesz transforms

    • Abstract

       

      We define the Hermite-Sobolev spaces naturally associated to the harmonic oscillatorH = −δ+|x|2. Structural properties, relations with the classical Sobolev spaces, boundedness of operators and almost everywhere convergence of solutions of the Schrodinger equation are also considered.

    • Author Affiliations

       

      B Bongioanni1 J L Torrea2

      1. Departamento de Matemática, Facultad de Ingeniería Qímica, Universidad Nacional del Litoral, and Instituto de Matemática Aplicada del Litoral, Santa Fe - 3000, Argentina
      2. Departamento de Matemática, Facultad de Ciencias, Universidad Autónoma de Madrid, Spain
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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