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 University of Liverpool.This item is available to borrow from 1 library branch.
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 University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- vi, 107 p.
- Note
- "Volume 181, number 856 (end of volume)"--cover
- Isbn
- 9780821840474
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/On-boundary-interpolation-for-matrix-valued-Schur/TGCOA9Z5gG0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/On-boundary-interpolation-for-matrix-valued-Schur/TGCOA9Z5gG0/">On boundary interpolation for matrix valued Schur functions, Vladimir Bolotnikov, Harry Dym</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
