Generalized Fourier representation of the absolutely continuous part of a selfadjoint operator

Details Generalized Fourier representation of the absolutely continuous part of a selfadjoint operator Generalized Fourier representation of the absolutely continuous part of a selfadjoint operator

2011-03-24

arxiv.org/abs/1103.4682v1

Mathematics

Functional Analysis

Scientific paper

We formulate and prove the existence and uniqueness of the generalized
Fourier transform associated with the absolutely continuous part of an
arbitrary selfadjoint operator on a separable Hilbert space. To this end we
develop a novel method to decompose an absolutely continuous operator into a
variable fiber direct integral of selfadjoint operators.

Affiliated with

Also associated with

No associations

Rating

Generalized Fourier representation of the absolutely continuous part of a selfadjoint operator 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 Generalized Fourier representation of the absolutely continuous part of a selfadjoint operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Fourier representation of the absolutely continuous part of a selfadjoint operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-47119