On M.G. Krein’s Spectral Shift Function for Canonical Systems of Differential Equations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2000

AUTHORS

V. A. Yavrian

ABSTRACT

In this paper the spectral shift function (s.s.f.) for the pair of operators, generated by a canonical system of differential equations with two different boundary conditions, is studied. The main result is a connection between the s.s.f. and the spectral function. Also the inverse problem is studied: For a given s.s.f. we find a canonical system and investigate its uniqueness. More... »

PAGES

393-417

References to SciGraph publications

Book

TITLE

Differential Operators and Related Topics

ISBN

978-3-0348-9552-1
978-3-0348-8403-7

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-0348-8403-7_30

DOI

http://dx.doi.org/10.1007/978-3-0348-8403-7_30

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1050955161


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Yerevan State University", 
          "id": "https://www.grid.ac/institutes/grid.21072.36", 
          "name": [
            "Department of Mathematics, Yerevan State University, Alek Manukian str. 1, 375049, Yerevan, Armenia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Yavrian", 
        "givenName": "V. A.", 
        "id": "sg:person.013133114153.96", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013133114153.96"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01378784", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028177646", 
          "https://doi.org/10.1007/bf01378784"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01378784", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028177646", 
          "https://doi.org/10.1007/bf01378784"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9947-1961-0133457-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034314438"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/s030821050001057x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1054892819"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/1993448", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069688878"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/1993919", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069688984"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/trans2/103/01", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1089181772"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/mmono/039", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1101567815"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2000", 
    "datePublishedReg": "2000-01-01", 
    "description": "In this paper the spectral shift function (s.s.f.) for the pair of operators, generated by a canonical system of differential equations with two different boundary conditions, is studied. The main result is a connection between the s.s.f. and the spectral function. Also the inverse problem is studied: For a given s.s.f. we find a canonical system and investigate its uniqueness.", 
    "editor": [
      {
        "familyName": "Adamyan", 
        "givenName": "V. M.", 
        "type": "Person"
      }, 
      {
        "familyName": "Gohberg", 
        "givenName": "I.", 
        "type": "Person"
      }, 
      {
        "familyName": "Gorbachuk", 
        "givenName": "M.", 
        "type": "Person"
      }, 
      {
        "familyName": "Gorbachuk", 
        "givenName": "V.", 
        "type": "Person"
      }, 
      {
        "familyName": "Kaashoek", 
        "givenName": "M. A.", 
        "type": "Person"
      }, 
      {
        "familyName": "Langer", 
        "givenName": "H.", 
        "type": "Person"
      }, 
      {
        "familyName": "Popov", 
        "givenName": "G.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-0348-8403-7_30", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-0348-9552-1", 
        "978-3-0348-8403-7"
      ], 
      "name": "Differential Operators and Related Topics", 
      "type": "Book"
    }, 
    "name": "On M.G. Krein\u2019s Spectral Shift Function for Canonical Systems of Differential Equations", 
    "pagination": "393-417", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1050955161"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-0348-8403-7_30"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "f2bb94673a9dd4d7192d2474448417f51a9836f315bb333380f249fab15207e8"
        ]
      }
    ], 
    "publisher": {
      "location": "Basel", 
      "name": "Birkh\u00e4user Basel", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-0348-8403-7_30", 
      "https://app.dimensions.ai/details/publication/pub.1050955161"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-16T08:55", 
    "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/v90/0000000369_0000000369/records_68944_00000001.jsonl", 
    "type": "Chapter", 
    "url": "https://link.springer.com/10.1007%2F978-3-0348-8403-7_30"
  }
]
 

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.10.1007/978-3-0348-8403-7_30'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8403-7_30'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8403-7_30'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-0348-8403-7_30'


 

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

117 TRIPLES      23 PREDICATES      34 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-0348-8403-7_30 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author Na04d2149692948a697ace8ac5cf8da04
4 schema:citation sg:pub.10.1007/bf01378784
5 https://doi.org/10.1017/s030821050001057x
6 https://doi.org/10.1090/mmono/039
7 https://doi.org/10.1090/s0002-9947-1961-0133457-4
8 https://doi.org/10.1090/trans2/103/01
9 https://doi.org/10.2307/1993448
10 https://doi.org/10.2307/1993919
11 schema:datePublished 2000
12 schema:datePublishedReg 2000-01-01
13 schema:description In this paper the spectral shift function (s.s.f.) for the pair of operators, generated by a canonical system of differential equations with two different boundary conditions, is studied. The main result is a connection between the s.s.f. and the spectral function. Also the inverse problem is studied: For a given s.s.f. we find a canonical system and investigate its uniqueness.
14 schema:editor Nefd5fbc478b14d35b7f2dfcfa94632f3
15 schema:genre chapter
16 schema:inLanguage en
17 schema:isAccessibleForFree false
18 schema:isPartOf Nf192aabdde254b4691aab7fad1b1eb03
19 schema:name On M.G. Krein’s Spectral Shift Function for Canonical Systems of Differential Equations
20 schema:pagination 393-417
21 schema:productId N365f38d2c29b43518d9abff6493b3824
22 N8def210f510e4b9e861fabf9932d2112
23 Nb191c99337634f6380ace4ec4a5ab5e1
24 schema:publisher Nbf2bac09e3fc4a358a24efd916e82830
25 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050955161
26 https://doi.org/10.1007/978-3-0348-8403-7_30
27 schema:sdDatePublished 2019-04-16T08:55
28 schema:sdLicense https://scigraph.springernature.com/explorer/license/
29 schema:sdPublisher Nf6534b37a6bb4d6198606ba4aac4c75c
30 schema:url https://link.springer.com/10.1007%2F978-3-0348-8403-7_30
31 sgo:license sg:explorer/license/
32 sgo:sdDataset chapters
33 rdf:type schema:Chapter
34 N04975995179b4701b52b28aa3131a8da schema:familyName Langer
35 schema:givenName H.
36 rdf:type schema:Person
37 N10951c37a80047ec87b7b8537b29cae5 schema:familyName Gorbachuk
38 schema:givenName M.
39 rdf:type schema:Person
40 N27b1b34964c145bcaab6d5d24b90becc schema:familyName Gorbachuk
41 schema:givenName V.
42 rdf:type schema:Person
43 N365f38d2c29b43518d9abff6493b3824 schema:name dimensions_id
44 schema:value pub.1050955161
45 rdf:type schema:PropertyValue
46 N3d4e097a5ef54f62bc0edae8376be0bd rdf:first N8810d9e4f325459c95c28f9efe7f3800
47 rdf:rest Nb552e2028e6a439396333e83c4687adb
48 N52dbd36bdca442c59d7d3578dbd8b2d0 schema:familyName Popov
49 schema:givenName G.
50 rdf:type schema:Person
51 N5a41907848f8469bb6d25df1fcfa4170 rdf:first N52dbd36bdca442c59d7d3578dbd8b2d0
52 rdf:rest rdf:nil
53 N735fbd4adda34e319361d6c413d93e70 schema:familyName Gohberg
54 schema:givenName I.
55 rdf:type schema:Person
56 N8810d9e4f325459c95c28f9efe7f3800 schema:familyName Kaashoek
57 schema:givenName M. A.
58 rdf:type schema:Person
59 N8def210f510e4b9e861fabf9932d2112 schema:name readcube_id
60 schema:value f2bb94673a9dd4d7192d2474448417f51a9836f315bb333380f249fab15207e8
61 rdf:type schema:PropertyValue
62 Na04d2149692948a697ace8ac5cf8da04 rdf:first sg:person.013133114153.96
63 rdf:rest rdf:nil
64 Na75d580c184c494ab9f8e1abf36473a3 rdf:first N10951c37a80047ec87b7b8537b29cae5
65 rdf:rest Nf2481eddd7fa42f5bc7305b30ec1474d
66 Nb191c99337634f6380ace4ec4a5ab5e1 schema:name doi
67 schema:value 10.1007/978-3-0348-8403-7_30
68 rdf:type schema:PropertyValue
69 Nb552e2028e6a439396333e83c4687adb rdf:first N04975995179b4701b52b28aa3131a8da
70 rdf:rest N5a41907848f8469bb6d25df1fcfa4170
71 Nb8f453be4f814df2a1fa41c9c56886ab schema:familyName Adamyan
72 schema:givenName V. M.
73 rdf:type schema:Person
74 Nbdae98375f534e148473204fede7f272 rdf:first N735fbd4adda34e319361d6c413d93e70
75 rdf:rest Na75d580c184c494ab9f8e1abf36473a3
76 Nbf2bac09e3fc4a358a24efd916e82830 schema:location Basel
77 schema:name Birkhäuser Basel
78 rdf:type schema:Organisation
79 Nefd5fbc478b14d35b7f2dfcfa94632f3 rdf:first Nb8f453be4f814df2a1fa41c9c56886ab
80 rdf:rest Nbdae98375f534e148473204fede7f272
81 Nf192aabdde254b4691aab7fad1b1eb03 schema:isbn 978-3-0348-8403-7
82 978-3-0348-9552-1
83 schema:name Differential Operators and Related Topics
84 rdf:type schema:Book
85 Nf2481eddd7fa42f5bc7305b30ec1474d rdf:first N27b1b34964c145bcaab6d5d24b90becc
86 rdf:rest N3d4e097a5ef54f62bc0edae8376be0bd
87 Nf6534b37a6bb4d6198606ba4aac4c75c schema:name Springer Nature - SN SciGraph project
88 rdf:type schema:Organization
89 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
90 schema:name Mathematical Sciences
91 rdf:type schema:DefinedTerm
92 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
93 schema:name Pure Mathematics
94 rdf:type schema:DefinedTerm
95 sg:person.013133114153.96 schema:affiliation https://www.grid.ac/institutes/grid.21072.36
96 schema:familyName Yavrian
97 schema:givenName V. A.
98 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013133114153.96
99 rdf:type schema:Person
100 sg:pub.10.1007/bf01378784 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028177646
101 https://doi.org/10.1007/bf01378784
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1017/s030821050001057x schema:sameAs https://app.dimensions.ai/details/publication/pub.1054892819
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1090/mmono/039 schema:sameAs https://app.dimensions.ai/details/publication/pub.1101567815
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1090/s0002-9947-1961-0133457-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034314438
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1090/trans2/103/01 schema:sameAs https://app.dimensions.ai/details/publication/pub.1089181772
110 rdf:type schema:CreativeWork
111 https://doi.org/10.2307/1993448 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069688878
112 rdf:type schema:CreativeWork
113 https://doi.org/10.2307/1993919 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069688984
114 rdf:type schema:CreativeWork
115 https://www.grid.ac/institutes/grid.21072.36 schema:alternateName Yerevan State University
116 schema:name Department of Mathematics, Yerevan State University, Alek Manukian str. 1, 375049, Yerevan, Armenia
117 rdf:type schema:Organization
 




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


...