A simple proof of the matrix-valued Fej\'er-Riesz theorem
L. Ephremidze, G. Janashia, E. Lagvilava
TL;DR
This paper presents a concise proof of the matrix-valued Fejér-Riesz theorem, simplifying the understanding of this important result in harmonic analysis and matrix theory.
Contribution
It provides a notably simple proof of the matrix-valued Fejér-Riesz theorem, enhancing theoretical clarity and accessibility.
Findings
Simplified proof of the matrix Fejér-Riesz theorem
Clarification of the theorem's theoretical foundations
Potential for easier application in related fields
Abstract
A very short proof of the Fej\'er-Riesz lemma is presented in the matrix case
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Matrix Theory and Algorithms · advanced mathematical theories