Stieltjes Integral Theorem and The Hilbert Transform

Physics – Mathematical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

8 pages

Scientific paper

Stieltjes integral theorem is more commonly known by the phrase 'integration by parts' and enables rearrangement of an otherwise intractable integral to a more amenable form; often permitting completion of an integral in closed form. Applying Stieltjes integral theorem to the Hilbert transform yields an equivalent alternate integral definition, which is homeomorphic and exhibits accelerated computation. By virtue of the convolution theorem, the integral is mapped to Fourier image space and delineates requirements for the inverse Fourier transform, also, these requirements reveal the underlying reason for increased computational speed. Lastly, an alternative to Cauchy's integral formula is deduced by extending the line integral into the complex domain and involves a line integral with logarithmic kernel.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Stieltjes Integral Theorem and The Hilbert Transform 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 Stieltjes Integral Theorem and The Hilbert Transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stieltjes Integral Theorem and The Hilbert Transform will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-712890

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.