Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems
From MaRDI portal
Publication:6095995
DOI10.1007/s00365-022-09604-2zbMath1525.33007arXiv2106.15079OpenAlexW3177085349MaRDI QIDQ6095995
Nicholas S. Witte, Roozbeh Gharakhloo
Publication date: 11 September 2023
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.15079
random matrix theoryToeplitz matriceslinear difference equationsbi-orthogonal polynomials on the unit circle
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Polynomials in number theory (11C08) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Relations with random matrices (11M50) Linear difference equations (39A06)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
- Multilateral generating functions for biorthogonal polynomials suggested by the Jacobi polynomials
- Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities
- Bi-orthogonal polynomials on the unit circle, regular semi-classical weights and integrable systems
- Lower order terms in the full moment conjecture for the Riemann zeta function
- Dodgson condensation: The historical and mathematical development of an experimental method
- Bi-orthogonal systems on the unit circle, regular semi-classical weights and integrable systems. II
- Biorthogonal polynomials suggested by the Hermite polynomials
- Christoffel-Darboux-type formulae and a recurrence for biorthogonal polynomials
- An investigation of biorthogonal polynomials derivable from ordinary differential equations of the third order
- Deformation of linear ordinary differential equations. I
- Biorthogonal polynomials suggested by the Jacobi polynomials
- Introduction to large truncated Toeplitz matrices
- Spectra of slant Toeplitz operators with continuous symbols
- Adjoints of slant Toeplitz operators
- On the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
- Autocorrelation of random matrix polynomials
- Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice
- Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable bosons
- Biorthogonal ensembles
- A Fredholm determinant formula for Toeplitz determinants
- Selberg integral theory and Muttalib-Borodin ensembles
- A Riemann-Hilbert problem for biorthogonal polynomials
- Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
- Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities
- Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
- A Riemann-Hilbert approach to asymptotic analysis of Toeplitz+Hankel determinants
- Muttalib-Borodin ensembles in random matrix theory -- realisations and correlation functions
- Moments of the derivative of characteristic polynomials with an application to the Riemann zeta function
- Biorthogonal polynomials suggested by the Laguerre polynomials
- A note on certain biorthogonal polynomials
- On a set of polynomials suggested by Laguerre polynomials
- Integrals over classical groups, random permutations, Toda and Toeplitz lattices
- Biorthogonal ensembles with two-particle interactions
- A RECURSION FORMULA FOR MOMENTS OF DERIVATIVES OF RANDOM MATRIX POLYNOMIALS
- Multiple orthogonal polynomial ensembles
- On the Theory of Biorthogonal Polynomials
- Scattering theory and polynomials orthogonal on the unit circle
- Properties of slant Toeplitz operators
- Growth models, random matrices and Painlev transcendents
- Generalized slant Toeplitz operators on H2
- Calculation of some determinants using thes-shifted factorial
- Asymptotics of Hankel Determinants With a One-Cut Regular Potential and Fisher–Hartwig Singularities
- A generalization of Laurent biorthogonal polynomials and related integrable lattices
- Aspects of Toeplitz Determinants
- Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results
- Some properties of biorthogonal polynomials
- Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations
- Random words, Toeplitz determinants and integrable systems. II
- Random matrix theory and \(L\)-functions at \(s=1/2\).
- Adjoints of slant Toeplitz operators. II
