Helson matrices induced by measures
Sameer Chavan, Chaman Kumar Sahu, and Kalyan B. Sinha
TL;DR
This paper investigates the mathematical properties of Helson matrices, including boundedness, Schatten-class membership, and scattering theory, especially those induced by measures, supported by new examples.
Contribution
It introduces a new class of Helson matrices induced by measures and explores their properties, expanding the understanding of Helson matrices in analysis.
Findings
Characterization of bounded Helson matrices
Analysis of Schatten-class properties
Development of scattering theory for Helson matrices
Abstract
We discuss the boundedness, Schatten-class properties and scattering theory of Helson matrices. We also discuss a class of Helson matrices induced by positive and signed measures. All the results of this paper are illustrated with several examples not considered earlier.
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
TopicsMatrix Theory and Algorithms · Random Matrices and Applications · Spectral Theory in Mathematical Physics