Operators, Functions, and Systems: an Easy Reading : Volume 1: Hardy, Hankel, and Toeplitz

by Nikolski, Nikolai K.

• ISBN13: 9780821849330
• ISBN10: 0821849336
• Format: Paperback
• Copyright: 2009-09-04
• Publisher: Amer Mathematical Society

Summary

An invitation to Hardy classes/Contents: Foreword to Part A Invariant subspaces of $L^2(\mu)$ First applications $H^p$ classes. Canonical factorization Szego infimum, and generalized Phragmen-Lindelof principle Harmonic analysis in $L^2(\mathbb{T},\mu)$ Transfer to the half-plane Time-invariant filtering Distance formulae and zeros of the Riemann $\zeta$-function Hankel and Toeplitz operators/Contents: Foreword to Part B Hankel operators and their symbols Compact Hankel operators Applications to Nevanlinna-Pick interpolation Essential spectrum. The first step: Elements of Toeplitz operators Essential spectrum. The second step: The Hilbert matrix and other Hankel operators Hankel and Toeplitz operators associated with moment problems Singular numbers of Hankel operators Trace class Hankel operators Inverse spectral problems, stochastic processes and one-sided invertibility Bibliography Author index Subject index Symbol index

Table of Contents

An invitation to Hardy classes/Contents: Foreword to Part A Invariant subspaces of $L^2(\mu)$

First applications $H^p$ classes

Canonical factorization Szego infimum, and generalized

Phragmen-Lindelof principle

Harmonic analysis in $L^2(\mathbb{T},\mu)$

Transfer to the half-plane

Time-invariant filtering Distance formulae and zeros of the Riemann $\zeta$-function

Hankel and Toeplitz operators/Contents: Foreword to Part B Hankel operators and their symbols

Compact Hankel operators

Applications to Nevanlinna-Pick interpolation Essential spectrum

The first step: Elements of Toeplitz operators Essential spectrum

The second step: The Hilbert matrix and other Hankel operators Hankel and Toeplitz operators associated with moment problems

Singular numbers of Hankel operators Trace class Hankel operators

Inverse spectral problems, stochastic processes and one-sided invertibility

Bibliography

Author

Index Subject

Index Symbol

Index

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