1. Home
    2. Journals
    3. Proceedings – Mathematical Sciences
    4. Volume 116
    5. Issue 3

    • Sobolev spaces associated to the harmonic oscillator

      B Bongioanni J L Torrea

      Volume 116 Issue 3 August 2006 pp 337-360

    • Fulltext

       

        Click here to view fulltext PDF


      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

       
      Published
      August 2006
      Manuscript received
      27 September 2005

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2023-2024 Indian Academy of Sciences, Bengaluru.

Contact | Site index