• Some uncertainty inequalities

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/02/0137-0145

    • Keywords

       

      Heisenberg group; Fourier transform; Hermite expansion; Laguerre expansion

    • Abstract

       

      We prove an uncertainty inequality for the Fourier transform on the Heisenberg group analogous to the classical uncertainty inequality for the Euclidean Fourier transform. Inequalities of similar form are obtained for the Hermite and Laguerre expansions.

    • Author Affiliations

       

      S Thangavelu1

      1. TIFR Centre, IISc Campus, Post Box No. 1234, Bangalore - 560 012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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