Ergodic Estimations for Toeplitz Sequences Generated by a Symbol
Giovanni Barbarino

TL;DR
This paper investigates the convergence properties of ergodic formulas for Toeplitz matrix sequences generated by a symbol, providing explicit bounds based on matrix size and regularity conditions.
Contribution
It offers new explicit bounds on ergodic convergence for Toeplitz matrices depending on matrix size and regularity of the symbol and test functions.
Findings
Derived explicit bounds for ergodic convergence rates
Analyzed the influence of symbol regularity on convergence
Provided practical estimates for Toeplitz matrix sequences
Abstract
We analyse the convergence of the ergodic formula for Toeplitz matrix-sequences generated by a symbol and we produce explicit bounds depending on the size of the matrix, the regularity of the symbol and the regularity of the test function.
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
TopicsHolomorphic and Operator Theory · Advanced Algebra and Geometry · Mathematical Analysis and Transform Methods
