Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607744 | Journal of Approximation Theory | 2010 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Javier Duoandikoetxea,