Cover Image

Necessary Conditions for Single-Critical-Point Higher-Order Szegő Sum Rules in OPUC

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Piao, Daxiong
Format:	Preprint
Published:	2026
Subjects:	Spectral Theory Probability 42C05, 47B36, 30C15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Complete Proof of the Simon--Lukic Conjecture for Higher-Order Szegő Theorems
by: Piao, Daxiong
Published: (2026)

On point spectrum of Jacobi matrices generated by iterations of quadratic polynomials
by: Eichinger, Benjamin, et al.
Published: (2024)

Construction and Characterization of Oscillatory Chain Sequences
by: Dai, Zejun, et al.
Published: (2025)

On the finiteness of logarithmic Hamiltonians for Volterra-type lattices in terms of the spectral measures of Jacobi operators
by: Osipov, Andrey
Published: (2025)

Single-Point Higher-Order Szegő Sum Rules in OPUC: Necessity for $m=1,2,3$
by: Piao, Daxiong
Published: (2026)

Szegő Recurrence for Multiple Orthogonal Polynomials on the Unit Circle
by: Vaktnäs, Marcus, et al.
Published: (2024)

Nevai's condition for measures with unbounded supports
by: Świderski, Grzegorz
Published: (2024)

Anderson localization for the multi-frequency quasi-periodic CMV matrices and quantum walks
by: Zhang, Bei, et al.
Published: (2025)

Finite and full scale localization for the multi-frequency quasi-periodic CMV matrices
by: Zhang, Bei, et al.
Published: (2025)

The spectrum of the multi-frequency quasi-periodic CMV matrices contains intervals
by: Zhang, Bei, et al.
Published: (2025)

Crystallization of discrete $N$-particle systems at high temperature
by: Cuenca, Cesar, et al.
Published: (2025)

Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism
by: Lin, Yanxue, et al.
Published: (2024)

General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials
by: Mañas, Manuel, et al.
Published: (2024)

Wave operators for Jacobi matrices
by: Denisov, Sergey A., et al.
Published: (2026)

On positive Jacobi matrices with compact inverses
by: Šťovíček, Pavel, et al.
Published: (2024)

Asymptotic zeros' distribution of orthogonal polynomials with unbounded recurrence coefficients
by: Świderski, Grzegorz, et al.
Published: (2023)

Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case
by: Świderski, Grzegorz, et al.
Published: (2020)

Structured perturbations of tridiagonal twisted Toeplitz matrices
by: Giandinoto, Dario, et al.
Published: (2026)

Bidiagonal Factorization of Banded Recursion Matrices for Mixed-Type Multiple Orthogonal Polynomials
by: Branquinho, Amílcar, et al.
Published: (2026)

Necessary and sufficient conditions for universality limits
by: Eichinger, Benjamin, et al.
Published: (2024)

A formula for the local Heun solution
by: Šťovíček, Pavel
Published: (2026)

Christoffel Transform and Multiple Orthogonal Polynomials
by: Kozhan, Rostyslav, et al.
Published: (2024)

Optimal dual frames and dual pairs for probability modelled erasures using weighted average of operator norm and spectral radius
by: Arati, S., et al.
Published: (2024)

Spectral deviation of concentration operators for the short-time Fourier transform
by: Marceca, Felipe, et al.
Published: (2021)

Ratio asymptotics and zero density for orthogonal polynomials with varying Verblunsky coefficients
by: Kozhan, Rostyslav, et al.
Published: (2025)

Unbounded banded matrices, shifted positive bidiagonal factorizations, and mixed-type multiple orthogonality
by: Branquinho, Amílcar, et al.
Published: (2026)

Eigenvalues of laplacian matrices of the cycles with one negative-weighted edge
by: Grudsky, S. M., et al.
Published: (2023)

Hölder-Continuity of Extreme Spectral Values of Pseudodifferential Operators, Gabor Frame Bounds, and Saturation
by: Gröchenig, Karlheinz, et al.
Published: (2024)

On the Genericity of the Spectrum Intervalization for Multi-Frequency Quasiperiodic Schrödinger Operators
by: Piao, Daxiong
Published: (2026)

Banded Hermitian Matrices, Matrix Orthogonal Polynomials, and the Toda Lattice
by: Younes, Charbel Abi, et al.
Published: (2026)

Interpolation Khrushchev-type formulas for structured operators, inequalities and asymptotic relations
by: Sakhnovich, Alexander
Published: (2024)

Spectral bounds for ergodic Jacobi operators
by: Hatinoğlu, Burak
Published: (2024)

Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle
by: Gamboa, Fabrice, et al.
Published: (2025)

Sum of $g-$frames in Hilbert $C^{\ast}-$modules
by: Lfounoune, Abdellatif, et al.
Published: (2023)

A sufficient condition for generalized spectral characterization of graphs with loops
by: Van Werde, Alexander
Published: (2025)

Nevanlinna matrix estimates without regularity conditions
by: Reiffenstein, Jakob
Published: (2025)

Szegő's theorem for Jordan arcs
by: Buchecker, Benedikt
Published: (2025)

Ultrametric Graphons and Hierarchical Community Networks: Spectral Theory and Applications
by: Ledezma, Ángel Alfredo Morán
Published: (2026)

Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions
by: Aptekarev, A. I., et al.
Published: (2024)

Spectral theory for Markov chains with transition matrix admitting a stochastic bidiagonal factorization
by: Branquinho, Amílcar, et al.
Published: (2026)