• Multipliers for the Weyl transform and Laguerre expansions

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/01/0009-0020

    • Keywords

       

      Weyl transform; multipliers; twisted convolution; osciallatory singular integrals; Laguerre expansions; summability

    • Abstract

       

      Let Pk denote the projection of L2(RR) onto the kth eigenspace of the operator (-δ+⋎x⋎2 andSNα=(1/ANαkN=0AN−kαPk. We study the multiplier transformTNα for the Weyl transform W defined byW(TNαf)=SnαW(f). Applications to Laguerre expansions are given.

    • Author Affiliations

       

      S Thangavelu1

      1. TIFR Centre, IISc Campus, Bangalore - 560 012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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