Article ID Journal Published Year Pages File Type
4607744 Journal of Approximation Theory 2010 10 Pages PDF
Abstract

We obtain several formulas for the action of the bilinear Hilbert transform on pairs of Hermite and Laguerre functions. The results can be given as linear combinations of products of Hermite or Laguerre functions. We show also that for the generalized bilinear Hilbert transforms the results cannot be expressed in such a simple way.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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