# Truncated geometry on the circle

@article{Hekkelman2022TruncatedGO,
title={Truncated geometry on the circle},
author={E. Hekkelman},
journal={Letters in Mathematical Physics},
year={2022}
}
• E. Hekkelman
• Published 27 November 2021
• Art
• Letters in Mathematical Physics
<jats:p>In this letter, we prove that the pure state space on the <jats:inline-formula><jats:alternatives><jats:tex-math>$$n \times n$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>×</mml:mo> <mml:mi>n</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> complex Toeplitz matrices converges in the…

## References

SHOWING 1-10 OF 17 REFERENCES
Spectral Truncations in Noncommutative Geometry and Operator Systems
• Mathematics
• 2020
In this paper we extend the traditional framework of noncommutative geometry in order to deal with spectral truncations of geometric spaces (i.e. imposing an ultraviolet cutoff in momentum space) and
Truncated geometry on the circle
• Master’s thesis,
• 2021
A Course In Functional Analysis
A course in functional analysis is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Vandermonde Decomposition of Multilevel Toeplitz Matrices With Application to Multidimensional Super-Resolution
• Computer Science
IEEE Transactions on Information Theory
• 2016
An affirmative answer to this question and a constructive method for finding the decomposition are provided when the matrix rank is lower than the dimension of each Toeplitz block, and a precise formulation of the atomic $\ell _{0}$ norm is derived using the Vandermonde decomposition.
Banach spaces of analytic functions. Courier Corporation
• 2007
A Course in Metric Geometry
• Mathematics
• 2001
Metric Spaces Length Spaces Constructions Spaces of Bounded Curvature Smooth Length Structures Curvature of Riemannian Metrics Space of Metric Spaces Large-scale Geometry Spaces of Curvature Bounded