You can think of the transform as a function that produces a 90 degree phase shift with a constant gain. For negative frequencies, the rotation is 90 degrees and for positive frequencies, the ...

You can think of the transform as a function that produces a 90 degree phase shift with a constant gain. For negative frequencies, the rotation is 90 degrees and for positive frequencies, the ...

Jonathan M. Bennett, Hilbert Transforms and Maximal Functions along Variable Flat Curves, Transactions of the American Mathematical Society, Vol. 354, No. 12 (Dec., 2002), pp. 4871-4892 Free online ...

Richard Hunt, Benjamin Muckenhoupt, Richard Wheeden, Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform, Transactions of the American Mathematical Society, Vol. 176 (Feb., ...