On an integral representation of the normalized trace of thek-th symmetric tensor power of matrices and some applications

DOI10.1080/03081087.2022.2058456arXiv2106.01486OpenAlexW3169354951WikidataQ114100567 ScholiaQ114100567MaRDI QIDQ6044831

Hassan Issa, Bassam Mourad, Hassane Abbas

Publication date: 22 May 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01486

zbMATH Keywords

integral formulahomogeneous polynomialstrace of symmetric powers

Mathematics Subject Classification ID

Basic linear algebra (15Axx) Special classes of linear operators (47Bxx) Holomorphic functions of several complex variables (32Axx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On inequalities for normalized Schur functions
• Commuting Toeplitz operators with quasi-homogeneous symbols on the Segal-Bargmann space
• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• Berezin--Toeplitz quantization and composition formulas
• Unitary invariance and spectral variation
• An ordering theorem for conditionally independent and identically distributed random variables
• A note on the positivity of the even degree complete homogeneous symmetric polynomials
• Heat flow and an algebra of Toeplitz operators
• Construction of some classes of commutative Banach and \(C^{\star}\)-algebras of Toeplitz operators
• How to Integrate a Polynomial over a Sphere
• On the Berezin-Toeplitz calculus
• A Short Proof of the Fact That the Matrix Trace Is the Expectation of the Numerical Values
• The vec-permutation matrix, the vec operator and Kronecker products: a review
• The positive-definiteness of the complete symmetric functions of even order
• Inequalities: theory of majorization and its applications
• Inequalities for symmetric means