On boundary interpolation for matrix valued Schur functions

Resource Information

The work On boundary interpolation for matrix valued Schur functions represents a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

On boundary interpolation for matrix valued Schur functions

Statement of responsibility

Vladimir Bolotnikov, Harry Dym

Creator

• Bolotnikov, Vladimir, 1962-
• Bolotnikov, Vladimir, 1962-

Contributor

• Dym, H., (Harry), 1938-
• Dym, H., (Harry), 1938-

Subject

• Moment problems (Mathematics)
• Schur functions
• Interpolation spaces
• Lyapunov functions

Language

eng

Summary

A number of interpolation problems are considered in the Schur class of $p\times q$ matrix valued functions $S$ that are analytic and contractive in the open unit disk. The interpolation constraints are specified in terms of nontangential limits and angular derivatives at one or more (of a finite number of) boundary points. Necessary and sufficient conditions for existence of solutions to these problems and a description of all the solutions when these conditions are met is given. The analysis makes extensive use of a class of reproducing kernel Hilbert spaces ${\mathcal{H}}(S)$ that was introduced by de Branges and Rovnyak. The Stein equation that is associated with the interpolation problems under consideration is analyzed in detail. A lossless inverse scattering problem is also considered

Cataloging source

DLC

Index

no index present

LC call number

QA3

LC item number

.A57 no. 856

Literary form

non fiction

Nature of contents

bibliography

Series statement

Memoirs of the American Mathematical Society

Series volume

856