Classes of pairs of meromorphic matrix valued functions generated by nonnegative kernels and associated Nevanlinna-Pick problems View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1995-09

AUTHORS

D. Alpay, V. Bolotnikov

ABSTRACT

Families of pairs of matrix-valued meromorphic functions(ρ,P) depending on two parameters ϱ andP are introduced. They are the projective analogues of classes of functions studied in [1] and include as special cases the projective Schur, Nevanlinna and Carathéodory classes. A two sided Nevanlinna-Pick interpolation problem is defined and solved in(ρ,P), using the fundamental matrix inequality method. More... »

PAGES

245-267

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01198484

DOI

http://dx.doi.org/10.1007/bf01198484

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1036628147


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", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0601", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Biochemistry and Cell Biology", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/06", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Biological Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Ben-Gurion University of the Negev", 
          "id": "https://www.grid.ac/institutes/grid.7489.2", 
          "name": [
            "Department of Mathematics, Ben-Gurion University of the Negev, POB 653, 84105, Beer-Sheva, Israel"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Alpay", 
        "givenName": "D.", 
        "id": "sg:person.011517101346.40", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011517101346.40"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Ben-Gurion University of the Negev", 
          "id": "https://www.grid.ac/institutes/grid.7489.2", 
          "name": [
            "Department of Mathematics, Ben-Gurion University of the Negev, POB 653, 84105, Beer-Sheva, Israel"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Bolotnikov", 
        "givenName": "V.", 
        "id": "sg:person.01130533744.43", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01130533744.43"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01204261", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001047275", 
          "https://doi.org/10.1007/bf01204261"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-65567-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011407145", 
          "https://doi.org/10.1007/978-3-642-65567-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-65567-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011407145", 
          "https://doi.org/10.1007/978-3-642-65567-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jfan.1993.1001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027701762"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0024-3795(93)90339-p", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042136806"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-5672-0_3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042293429", 
          "https://doi.org/10.1007/978-3-0348-5672-0_3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1043632982", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-7709-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043632982", 
          "https://doi.org/10.1007/978-3-0348-7709-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-7709-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043632982", 
          "https://doi.org/10.1007/978-3-0348-7709-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1070/im1984v022n03abeh001452", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058167159"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4171/zaa/570", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072322620"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/trans2/131/07", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1089184106"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/trans2/138/03", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1089184165"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/cbms/071", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098722335"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1995-09", 
    "datePublishedReg": "1995-09-01", 
    "description": "Families of pairs of matrix-valued meromorphic functions(\u03c1,P) depending on two parameters \u03f1 andP are introduced. They are the projective analogues of classes of functions studied in [1] and include as special cases the projective Schur, Nevanlinna and Carath\u00e9odory classes. A two sided Nevanlinna-Pick interpolation problem is defined and solved in(\u03c1,P), using the fundamental matrix inequality method.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf01198484", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136245", 
        "issn": [
          "0378-620X", 
          "1420-8989"
        ], 
        "name": "Integral Equations and Operator Theory", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "23"
      }
    ], 
    "name": "Classes of pairs of meromorphic matrix valued functions generated by nonnegative kernels and associated Nevanlinna-Pick problems", 
    "pagination": "245-267", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "ae7bee0c5539451a6e6b91c7c72eaf6447499c52d5ef96d9ee3e3e4e52c4a156"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf01198484"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1036628147"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf01198484", 
      "https://app.dimensions.ai/details/publication/pub.1036628147"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:31", 
    "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/v90/0000000370_0000000370/records_46757_00000001.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF01198484"
  }
]
 

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/bf01198484'

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/bf01198484'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01198484'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01198484'


 

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

107 TRIPLES      21 PREDICATES      39 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf01198484 schema:about anzsrc-for:06
2 anzsrc-for:0601
3 schema:author N36e61fa0382b475980abaf823bd43d02
4 schema:citation sg:pub.10.1007/978-3-0348-5672-0_3
5 sg:pub.10.1007/978-3-0348-7709-1
6 sg:pub.10.1007/978-3-642-65567-8
7 sg:pub.10.1007/bf01204261
8 https://app.dimensions.ai/details/publication/pub.1043632982
9 https://doi.org/10.1006/jfan.1993.1001
10 https://doi.org/10.1016/0024-3795(93)90339-p
11 https://doi.org/10.1070/im1984v022n03abeh001452
12 https://doi.org/10.1090/cbms/071
13 https://doi.org/10.1090/trans2/131/07
14 https://doi.org/10.1090/trans2/138/03
15 https://doi.org/10.4171/zaa/570
16 schema:datePublished 1995-09
17 schema:datePublishedReg 1995-09-01
18 schema:description Families of pairs of matrix-valued meromorphic functions(ρ,P) depending on two parameters ϱ andP are introduced. They are the projective analogues of classes of functions studied in [1] and include as special cases the projective Schur, Nevanlinna and Carathéodory classes. A two sided Nevanlinna-Pick interpolation problem is defined and solved in(ρ,P), using the fundamental matrix inequality method.
19 schema:genre research_article
20 schema:inLanguage en
21 schema:isAccessibleForFree false
22 schema:isPartOf N79fb581a3b1d40d9949f9ebc9e9f67a3
23 Nac01e2dce83348adb78ff4a2c7543e89
24 sg:journal.1136245
25 schema:name Classes of pairs of meromorphic matrix valued functions generated by nonnegative kernels and associated Nevanlinna-Pick problems
26 schema:pagination 245-267
27 schema:productId N4dc3b40a255b45cc830b08f75141e6ee
28 Ne5e429d9acc74ee98ee426f1a4130e4e
29 Nf3146ba4c0144c13aa2373fdf0efa8b4
30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036628147
31 https://doi.org/10.1007/bf01198484
32 schema:sdDatePublished 2019-04-11T13:31
33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
34 schema:sdPublisher N3aaf7daca7e14ff3b0321c8ff1f3bb72
35 schema:url http://link.springer.com/10.1007/BF01198484
36 sgo:license sg:explorer/license/
37 sgo:sdDataset articles
38 rdf:type schema:ScholarlyArticle
39 N36e61fa0382b475980abaf823bd43d02 rdf:first sg:person.011517101346.40
40 rdf:rest Nccf126399c8e404f9a43505d514e27fb
41 N3aaf7daca7e14ff3b0321c8ff1f3bb72 schema:name Springer Nature - SN SciGraph project
42 rdf:type schema:Organization
43 N4dc3b40a255b45cc830b08f75141e6ee schema:name dimensions_id
44 schema:value pub.1036628147
45 rdf:type schema:PropertyValue
46 N79fb581a3b1d40d9949f9ebc9e9f67a3 schema:volumeNumber 23
47 rdf:type schema:PublicationVolume
48 Nac01e2dce83348adb78ff4a2c7543e89 schema:issueNumber 3
49 rdf:type schema:PublicationIssue
50 Nccf126399c8e404f9a43505d514e27fb rdf:first sg:person.01130533744.43
51 rdf:rest rdf:nil
52 Ne5e429d9acc74ee98ee426f1a4130e4e schema:name doi
53 schema:value 10.1007/bf01198484
54 rdf:type schema:PropertyValue
55 Nf3146ba4c0144c13aa2373fdf0efa8b4 schema:name readcube_id
56 schema:value ae7bee0c5539451a6e6b91c7c72eaf6447499c52d5ef96d9ee3e3e4e52c4a156
57 rdf:type schema:PropertyValue
58 anzsrc-for:06 schema:inDefinedTermSet anzsrc-for:
59 schema:name Biological Sciences
60 rdf:type schema:DefinedTerm
61 anzsrc-for:0601 schema:inDefinedTermSet anzsrc-for:
62 schema:name Biochemistry and Cell Biology
63 rdf:type schema:DefinedTerm
64 sg:journal.1136245 schema:issn 0378-620X
65 1420-8989
66 schema:name Integral Equations and Operator Theory
67 rdf:type schema:Periodical
68 sg:person.01130533744.43 schema:affiliation https://www.grid.ac/institutes/grid.7489.2
69 schema:familyName Bolotnikov
70 schema:givenName V.
71 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01130533744.43
72 rdf:type schema:Person
73 sg:person.011517101346.40 schema:affiliation https://www.grid.ac/institutes/grid.7489.2
74 schema:familyName Alpay
75 schema:givenName D.
76 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011517101346.40
77 rdf:type schema:Person
78 sg:pub.10.1007/978-3-0348-5672-0_3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042293429
79 https://doi.org/10.1007/978-3-0348-5672-0_3
80 rdf:type schema:CreativeWork
81 sg:pub.10.1007/978-3-0348-7709-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043632982
82 https://doi.org/10.1007/978-3-0348-7709-1
83 rdf:type schema:CreativeWork
84 sg:pub.10.1007/978-3-642-65567-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011407145
85 https://doi.org/10.1007/978-3-642-65567-8
86 rdf:type schema:CreativeWork
87 sg:pub.10.1007/bf01204261 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001047275
88 https://doi.org/10.1007/bf01204261
89 rdf:type schema:CreativeWork
90 https://app.dimensions.ai/details/publication/pub.1043632982 schema:CreativeWork
91 https://doi.org/10.1006/jfan.1993.1001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027701762
92 rdf:type schema:CreativeWork
93 https://doi.org/10.1016/0024-3795(93)90339-p schema:sameAs https://app.dimensions.ai/details/publication/pub.1042136806
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1070/im1984v022n03abeh001452 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058167159
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1090/cbms/071 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098722335
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1090/trans2/131/07 schema:sameAs https://app.dimensions.ai/details/publication/pub.1089184106
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1090/trans2/138/03 schema:sameAs https://app.dimensions.ai/details/publication/pub.1089184165
102 rdf:type schema:CreativeWork
103 https://doi.org/10.4171/zaa/570 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072322620
104 rdf:type schema:CreativeWork
105 https://www.grid.ac/institutes/grid.7489.2 schema:alternateName Ben-Gurion University of the Negev
106 schema:name Department of Mathematics, Ben-Gurion University of the Negev, POB 653, 84105, Beer-Sheva, Israel
107 rdf:type schema:Organization
 




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


...