The spectral theory of the Fourier operator truncated on the positive half-axis
Victor Katsnelson
TL;DR
This paper conducts a spectral analysis of the Fourier operator when truncated to the positive half-axis, providing insights into its spectral properties and behavior.
Contribution
It offers a detailed spectral analysis of the truncated Fourier operator, a novel investigation into its spectral characteristics.
Findings
Spectral properties characterized
Eigenvalues and eigenfunctions identified
Insights into operator behavior on half-axis
Abstract
The spectral analysis of the operator Fourier truncated on the positive half-axis is done.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · advanced mathematical theories · Spectral Theory in Mathematical Physics