The bilinear Hilbert transform acting on Hermite and Laguerre functions

نویسنده

  • Javier Duoandikoetxea
چکیده

We obtain several formulas for the action of the bilinear Hilbert transform on pairs of Hermite and Laguerre functions. The result can be expressed as a linear combination of products of Hermite or Laguerre functions.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 162  شماره 

صفحات  -

تاریخ انتشار 2010