Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 9780821836750
Category : Mathematics
Languages : en
Pages : 608
Book Description
Presents an overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. This book discusses topics such as asymptotics of Toeplitz determinants (Szego's theorems), and limit theorems for the density of the zeros of orthogonal polynomials.
Orthogonal Polynomials on the Unit Circle: Spectral theory
Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 9780821836750
Category : Mathematics
Languages : en
Pages : 608
Book Description
Presents an overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. This book discusses topics such as asymptotics of Toeplitz determinants (Szego's theorems), and limit theorems for the density of the zeros of orthogonal polynomials.
Publisher: American Mathematical Soc.
ISBN: 9780821836750
Category : Mathematics
Languages : en
Pages : 608
Book Description
Presents an overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. This book discusses topics such as asymptotics of Toeplitz determinants (Szego's theorems), and limit theorems for the density of the zeros of orthogonal polynomials.
Orthogonal Polynomials on the Unit Circle
Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 082184864X
Category : Education
Languages : en
Pages : 610
Book Description
This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line. The book is suitable for graduate students and researchers interested in analysis.
Publisher: American Mathematical Soc.
ISBN: 082184864X
Category : Education
Languages : en
Pages : 610
Book Description
This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line. The book is suitable for graduate students and researchers interested in analysis.
Orthogonal Polynomials on the Unit Circle
Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 0821848631
Category : Mathematics
Languages : en
Pages : 466
Book Description
This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szego's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by $z$ (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.
Publisher: American Mathematical Soc.
ISBN: 0821848631
Category : Mathematics
Languages : en
Pages : 466
Book Description
This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szego's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by $z$ (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.
Orthogonal Polynomials on the Unit Circle
Author: Barry Simon
Publisher:
ISBN: 9781470431990
Category : Orthogonal polynomials
Languages : en
Pages : 1044
Book Description
This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal po.
Publisher:
ISBN: 9781470431990
Category : Orthogonal polynomials
Languages : en
Pages : 1044
Book Description
This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal po.
Orthogonal Polynomials on the Unit Circle
Author:
Publisher:
ISBN:
Category : Orthogonal polynomials
Languages : en
Pages : 220
Book Description
Publisher:
ISBN:
Category : Orthogonal polynomials
Languages : en
Pages : 220
Book Description
Orthogonal Polynomials on the Unit Circle
Author: Barry Simon
Publisher:
ISBN: 9781470432003
Category : Orthogonal polynomials
Languages : en
Pages : 1044
Book Description
This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal po.
Publisher:
ISBN: 9781470432003
Category : Orthogonal polynomials
Languages : en
Pages : 1044
Book Description
This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal po.
Orthogonal Polynomials
Orthogonal Polynomials
Orthogonal Polynomials : Estimates Asymptotic Formulas and Series of Polynomials Orthogonal on the Unit Circle and on an Interval
Author: L. Ya Geronimus
Publisher: Springer
ISBN: 9780306105654
Category : Mathematics
Languages : en
Pages : 242
Book Description
Publisher: Springer
ISBN: 9780306105654
Category : Mathematics
Languages : en
Pages : 242
Book Description
Orthogonal Polynomials
Author: I︠A︡. L. Geronimus
Publisher:
ISBN:
Category : Functions, Orthogonal
Languages : en
Pages : 256
Book Description
Publisher:
ISBN:
Category : Functions, Orthogonal
Languages : en
Pages : 256
Book Description