Remarks on restricted Nevanlinna transforms

Details Remarks on restricted Nevanlinna transforms Remarks on restricted Nevanlinna transforms

2010-01-13

arxiv.org/abs/1001.2154v1

Mathematics

Probability

11 pages

Scientific paper

The Nevanlinna transform K(z), of a measure and a real constant, plays an important role in the complex analysis and more recently in the free probability theory (boolean convolution). It is shown that its restriction k(it) (the restricted Nevanlinna transform) to the imaginary axis can be expressed as the Laplace transform of the Fourier transform (characteristic function) of the corresponding measure. Finally, a relation between the Voiculescu and the boolean convolution is indicated.

Affiliated with

Also associated with

No associations

Rating

Remarks on restricted Nevanlinna transforms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remarks on restricted Nevanlinna transforms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on restricted Nevanlinna transforms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525210