The Resource On boundary interpolation for matrix valued Schur functions, Vladimir Bolotnikov, Harry Dym

# On boundary interpolation for matrix valued Schur functions, Vladimir Bolotnikov, Harry Dym Resource Information The item On boundary interpolation for matrix valued Schur functions, Vladimir Bolotnikov, Harry Dym represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.

Label
On boundary interpolation for matrix valued Schur functions
Title
On boundary interpolation for matrix valued Schur functions
Statement of responsibility
Creator
Contributor
Subject
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
DLC
1962-
Index
no index present
LC call number
QA3
LC item number
.A57 no. 856
Literary form
non fiction
Nature of contents
bibliography
1938-
Dym, H.
Series statement
Memoirs of the American Mathematical Society
Series volume
856
• Schur functions
• Interpolation spaces
• Moment problems (Mathematics)
• Lyapunov functions
Label
On boundary interpolation for matrix valued Schur functions, Vladimir Bolotnikov, Harry Dym
Instantiates
Publication
Note
"Volume 181, number 856 (end of volume)"--cover
Bibliography note
Includes bibliographical references (p. 105-107)
Carrier category
volume
Carrier category code
• nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
• txt
Content type MARC source
rdacontent
Control code
63117070
Dimensions
26 cm.
Extent
vi, 107 p.
Isbn
9780821840474
Lccn
2006040674
Media category
unmediated
Media MARC source
rdamedia
Media type code
• n
Label
On boundary interpolation for matrix valued Schur functions, Vladimir Bolotnikov, Harry Dym
Publication
Note
"Volume 181, number 856 (end of volume)"--cover
Bibliography note
Includes bibliographical references (p. 105-107)
Carrier category
volume
Carrier category code
• nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
• txt
Content type MARC source
rdacontent
Control code
63117070
Dimensions
26 cm.
Extent
vi, 107 p.
Isbn
9780821840474
Lccn
2006040674
Media category
unmediated
Media MARC source
rdamedia
Media type code
• n

#### Library Locations

• Harold Cohen Library
Ashton Street, Liverpool, L69 3DA, GB
53.418074 -2.967913