Generalized Schur Functions and Augmented Schur Parameters View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2006

AUTHORS

Aad Dijksma , Gerald Wanjala

ABSTRACT

Every Schur function s(z) is the uniform limit of a sequence of finite Blaschke products on compact subsets of the open unit disk. The Blaschke products in the sequence are defined inductively via the Schur parameters of s(z). In this note we prove a similar result for generalized Schur functions.

PAGES

135-144

References to SciGraph publications

Book

TITLE

Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

ISBN

3-7643-7452-7

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/3-7643-7453-5_8

DOI

http://dx.doi.org/10.1007/3-7643-7453-5_8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1037546927


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Groningen", 
          "id": "https://www.grid.ac/institutes/grid.4830.f", 
          "name": [
            "Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV\u00a0Groningen, The Netherlands"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dijksma", 
        "givenName": "Aad", 
        "id": "sg:person.013762723211.39", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013762723211.39"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Mbarara University of Science and Technology", 
          "id": "https://www.grid.ac/institutes/grid.33440.30", 
          "name": [
            "Department of Mathematics, Mbarara University of Science and Technology, P.O. Box 1410, Mbarara, Uganda"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Wanjala", 
        "givenName": "Gerald", 
        "id": "sg:person.012754335703.52", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012754335703.52"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/s00605-002-0528-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034313376", 
          "https://doi.org/10.1007/s00605-002-0528-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0024-3795(02)00734-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049556885"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0024-3795(02)00734-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049556885"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2006", 
    "datePublishedReg": "2006-01-01", 
    "description": "Every Schur function s(z) is the uniform limit of a sequence of finite Blaschke products on compact subsets of the open unit disk. The Blaschke products in the sequence are defined inductively via the Schur parameters of s(z). In this note we prove a similar result for generalized Schur functions.", 
    "editor": [
      {
        "familyName": "F\u00f6rster", 
        "givenName": "Karl-Heinz", 
        "type": "Person"
      }, 
      {
        "familyName": "Jonas", 
        "givenName": "Peter", 
        "type": "Person"
      }, 
      {
        "familyName": "Langer", 
        "givenName": "Heinz", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/3-7643-7453-5_8", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": {
      "isbn": [
        "3-7643-7452-7"
      ], 
      "name": "Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems", 
      "type": "Book"
    }, 
    "name": "Generalized Schur Functions and Augmented Schur Parameters", 
    "pagination": "135-144", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/3-7643-7453-5_8"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "b2dbd82f0f8bed91365c97d8ebb10b688354d9042f9eb2c91d3fbc260fd186ce"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1037546927"
        ]
      }
    ], 
    "publisher": {
      "location": "Basel", 
      "name": "Birkh\u00e4user-Verlag", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/3-7643-7453-5_8", 
      "https://app.dimensions.ai/details/publication/pub.1037546927"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T21:03", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8690_00000266.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/3-7643-7453-5_8"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/3-7643-7453-5_8'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/3-7643-7453-5_8'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/3-7643-7453-5_8'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/3-7643-7453-5_8'


 

This table displays all metadata directly associated to this object as RDF triples.

83 TRIPLES      22 PREDICATES      27 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/3-7643-7453-5_8 schema:author Ne5424b1e8cb64f028c9264119dab0d39
2 schema:citation sg:pub.10.1007/s00605-002-0528-6
3 https://doi.org/10.1016/s0024-3795(02)00734-6
4 schema:datePublished 2006
5 schema:datePublishedReg 2006-01-01
6 schema:description Every Schur function s(z) is the uniform limit of a sequence of finite Blaschke products on compact subsets of the open unit disk. The Blaschke products in the sequence are defined inductively via the Schur parameters of s(z). In this note we prove a similar result for generalized Schur functions.
7 schema:editor N940b579e270949799876511cb6c1cbd0
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree true
11 schema:isPartOf N9e5727b971674932b6a31918d999b439
12 schema:name Generalized Schur Functions and Augmented Schur Parameters
13 schema:pagination 135-144
14 schema:productId N3ef871bd69a14eebb503107cfeb8a047
15 N5f74747b8a6c44ffb2ada9d1b0f0da53
16 Ne1eb50b78b484f8698f25762edd9f826
17 schema:publisher Nb296f9ac5b944730964516c1c0931e07
18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037546927
19 https://doi.org/10.1007/3-7643-7453-5_8
20 schema:sdDatePublished 2019-04-15T21:03
21 schema:sdLicense https://scigraph.springernature.com/explorer/license/
22 schema:sdPublisher N5a2e8f5df5ab401e810f3e4f220931c7
23 schema:url http://link.springer.com/10.1007/3-7643-7453-5_8
24 sgo:license sg:explorer/license/
25 sgo:sdDataset chapters
26 rdf:type schema:Chapter
27 N02db553bff4a486298d8960620c9e15f rdf:first sg:person.012754335703.52
28 rdf:rest rdf:nil
29 N0348299668a74faa836273a250b5becb rdf:first Ne012a9db433e4a1e9ceaa6fadefe660d
30 rdf:rest N4efe9bbbb9e44258b449244e9a394f13
31 N3ef871bd69a14eebb503107cfeb8a047 schema:name dimensions_id
32 schema:value pub.1037546927
33 rdf:type schema:PropertyValue
34 N49500f8265b64f93897b1bc1d7535820 schema:familyName Langer
35 schema:givenName Heinz
36 rdf:type schema:Person
37 N4efe9bbbb9e44258b449244e9a394f13 rdf:first N49500f8265b64f93897b1bc1d7535820
38 rdf:rest rdf:nil
39 N5a2e8f5df5ab401e810f3e4f220931c7 schema:name Springer Nature - SN SciGraph project
40 rdf:type schema:Organization
41 N5f74747b8a6c44ffb2ada9d1b0f0da53 schema:name doi
42 schema:value 10.1007/3-7643-7453-5_8
43 rdf:type schema:PropertyValue
44 N68118a5955a644ae91efffbb0e93d30c schema:familyName Förster
45 schema:givenName Karl-Heinz
46 rdf:type schema:Person
47 N940b579e270949799876511cb6c1cbd0 rdf:first N68118a5955a644ae91efffbb0e93d30c
48 rdf:rest N0348299668a74faa836273a250b5becb
49 N9e5727b971674932b6a31918d999b439 schema:isbn 3-7643-7452-7
50 schema:name Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems
51 rdf:type schema:Book
52 Nb296f9ac5b944730964516c1c0931e07 schema:location Basel
53 schema:name Birkhäuser-Verlag
54 rdf:type schema:Organisation
55 Ne012a9db433e4a1e9ceaa6fadefe660d schema:familyName Jonas
56 schema:givenName Peter
57 rdf:type schema:Person
58 Ne1eb50b78b484f8698f25762edd9f826 schema:name readcube_id
59 schema:value b2dbd82f0f8bed91365c97d8ebb10b688354d9042f9eb2c91d3fbc260fd186ce
60 rdf:type schema:PropertyValue
61 Ne5424b1e8cb64f028c9264119dab0d39 rdf:first sg:person.013762723211.39
62 rdf:rest N02db553bff4a486298d8960620c9e15f
63 sg:person.012754335703.52 schema:affiliation https://www.grid.ac/institutes/grid.33440.30
64 schema:familyName Wanjala
65 schema:givenName Gerald
66 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012754335703.52
67 rdf:type schema:Person
68 sg:person.013762723211.39 schema:affiliation https://www.grid.ac/institutes/grid.4830.f
69 schema:familyName Dijksma
70 schema:givenName Aad
71 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013762723211.39
72 rdf:type schema:Person
73 sg:pub.10.1007/s00605-002-0528-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034313376
74 https://doi.org/10.1007/s00605-002-0528-6
75 rdf:type schema:CreativeWork
76 https://doi.org/10.1016/s0024-3795(02)00734-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049556885
77 rdf:type schema:CreativeWork
78 https://www.grid.ac/institutes/grid.33440.30 schema:alternateName Mbarara University of Science and Technology
79 schema:name Department of Mathematics, Mbarara University of Science and Technology, P.O. Box 1410, Mbarara, Uganda
80 rdf:type schema:Organization
81 https://www.grid.ac/institutes/grid.4830.f schema:alternateName University of Groningen
82 schema:name Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands
83 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...