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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

Label
On boundary interpolation for matrix valued Schur functions
Title
On boundary interpolation for matrix valued Schur functions
Statement of responsibility
Vladimir Bolotnikov, Harry Dym
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
Cataloging source
DLC
http://library.link/vocab/creatorDate
1962-
http://library.link/vocab/creatorName
Bolotnikov, Vladimir
Index
no index present
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1938-
http://library.link/vocab/relatedWorkOrContributorName
Dym, H.
Series statement
Memoirs of the American Mathematical Society
Series volume
856
http://library.link/vocab/subjectName
  • 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

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      53.418074 -2.967913
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