M. G. Krein's ideas in the theory of orthogonal polynomials

History of mathematics in the 20th century (01A60) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) History of harmonic analysis on Euclidean spaces (42-03)

Cites Work

Tridiagonal matrix representations of cyclic self-adjoint operators
On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
On the greatest zero of an orthogonal polynomial
Orthogonal polynomials with asymptotically periodic recurrent coefficients
Tridiagonal matrix representations of cyclic self-adjoint operators. II
Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
On two theorems of M. G. Krein concerning polynomials orthogonal on the unit circle
Asymptotics for orthogonal polynomials on and off the essential spectrum
On the spectra of infinite-dimensional Jacobi matrices
Spectral measures corresponding to orthogonal polynomials with unbounded recurrence coefficients
Asymptotics for orthogonal polynomials
Orthogonal polynomials and measures with finitely many point masses
Orthogonal polynomials with discrete spectra of the real line
The derived set of the spectrum of a distribution function
Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle
Matrix Stieltjes Series and Network Models
Necessary and Sufficient Conditions Relating the Coefficients in the Recurrence Formula to the Spectral Function for Orthogonal Polynomials
Orthogonal Polynomials, Measures and Recurrence Relations
Asymptotics for the Zeros of Orthogonal Polynomials associated with Infinite Intervals
Scattering Theory and Polynomials Orthogonal on the Real Line
Spectral Properties of Orthogonal Polynomials on Unbounded Sets
An upper bound on the number of eigenvalues of an infinite dimensional Jacobi matrix
A coupling theorem for matched symmetrical two-branch four-port networks
ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
Orthogonal polynomials
Orthogonal Polynomials Defined by a Recurrence Relation
Matrix orthogonal polynomials on the unit circle
On Constructing Distribution Functions; with Applications to Lommel Polynomials and Bessel Functions
On orthogonal polynomials
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