Serveur d'exploration Bourbaki

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

q -analogues of some bounded symmetric domains

Identifieur interne : 001342 ( Main/Exploration ); précédent : 001341; suivant : 001343

q -analogues of some bounded symmetric domains

Auteurs : D. L. Shklyarov [Ukraine] ; S. D. Sinel'Shchikov [Ukraine] ; L. L. Vaksman [Ukraine]

Source :

RBID : ISTEX:9550EFAF61E4A7708C300F4C6B2CB1D0FF4D27D3

Abstract

Abstract: We study q-analogues of matrix balls. A description of algebras of finite functions in the quantum matrix balls, an explicit form for the invariant integral in the space of finite functions, q-analogues for the weighted Bergman spaces, together with an explicit formula for the corresponding Bergman kernel, are presented.

Url:
DOI: 10.1023/A:1022805922063


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI wicri:istexFullTextTei="biblStruct">
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">q -analogues of some bounded symmetric domains</title>
<author>
<name sortKey="Shklyarov, D L" sort="Shklyarov, D L" uniqKey="Shklyarov D" first="D. L." last="Shklyarov">D. L. Shklyarov</name>
</author>
<author>
<name sortKey="Sinel Shchikov, S D" sort="Sinel Shchikov, S D" uniqKey="Sinel Shchikov S" first="S. D." last="Sinel'Shchikov">S. D. Sinel'Shchikov</name>
</author>
<author>
<name sortKey="Vaksman, L L" sort="Vaksman, L L" uniqKey="Vaksman L" first="L. L." last="Vaksman">L. L. Vaksman</name>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:9550EFAF61E4A7708C300F4C6B2CB1D0FF4D27D3</idno>
<date when="2000" year="2000">2000</date>
<idno type="doi">10.1023/A:1022805922063</idno>
<idno type="url">https://api.istex.fr/document/9550EFAF61E4A7708C300F4C6B2CB1D0FF4D27D3/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001E47</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001E47</idno>
<idno type="wicri:Area/Istex/Curation">001E47</idno>
<idno type="wicri:Area/Istex/Checkpoint">001217</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001217</idno>
<idno type="wicri:doubleKey">0011-4626:2000:Shklyarov D:q:analogues:of</idno>
<idno type="wicri:Area/Main/Merge">001357</idno>
<idno type="wicri:Area/Main/Curation">001342</idno>
<idno type="wicri:Area/Main/Exploration">001342</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title level="a" type="main" xml:lang="en">q -analogues of some bounded symmetric domains</title>
<author>
<name sortKey="Shklyarov, D L" sort="Shklyarov, D L" uniqKey="Shklyarov D" first="D. L." last="Shklyarov">D. L. Shklyarov</name>
<affiliation wicri:level="1">
<country xml:lang="fr">Ukraine</country>
<wicri:regionArea>Institute for Low Temperature Physics & Engineering, National Acad. Sci. of Ukraine, 310164, Kharkov</wicri:regionArea>
<wicri:noRegion>Kharkov</wicri:noRegion>
</affiliation>
</author>
<author>
<name sortKey="Sinel Shchikov, S D" sort="Sinel Shchikov, S D" uniqKey="Sinel Shchikov S" first="S. D." last="Sinel'Shchikov">S. D. Sinel'Shchikov</name>
<affiliation wicri:level="1">
<country xml:lang="fr">Ukraine</country>
<wicri:regionArea>Institute for Low Temperature Physics & Engineering, National Acad. Sci. of Ukraine, 310164, Kharkov</wicri:regionArea>
<wicri:noRegion>Kharkov</wicri:noRegion>
</affiliation>
</author>
<author>
<name sortKey="Vaksman, L L" sort="Vaksman, L L" uniqKey="Vaksman L" first="L. L." last="Vaksman">L. L. Vaksman</name>
<affiliation wicri:level="1">
<country xml:lang="fr">Ukraine</country>
<wicri:regionArea>Institute for Low Temperature Physics & Engineering, National Acad. Sci. of Ukraine, 310164, Kharkov</wicri:regionArea>
<wicri:noRegion>Kharkov</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series>
<title level="j">Czechoslovak Journal of Physics</title>
<title level="j" type="abbrev">Czechoslovak Journal of Physics</title>
<idno type="ISSN">0011-4626</idno>
<idno type="eISSN">1572-9486</idno>
<imprint>
<publisher>Kluwer Academic Publishers-Plenum Publishers</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="2000-01-01">2000-01-01</date>
<biblScope unit="volume">50</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="175">175</biblScope>
<biblScope unit="page" to="180">180</biblScope>
</imprint>
<idno type="ISSN">0011-4626</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt>
<idno type="ISSN">0011-4626</idno>
</seriesStmt>
</fileDesc>
<profileDesc>
<textClass></textClass>
<langUsage>
<language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">Abstract: We study q-analogues of matrix balls. A description of algebras of finite functions in the quantum matrix balls, an explicit form for the invariant integral in the space of finite functions, q-analogues for the weighted Bergman spaces, together with an explicit formula for the corresponding Bergman kernel, are presented.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Ukraine</li>
</country>
</list>
<tree>
<country name="Ukraine">
<noRegion>
<name sortKey="Shklyarov, D L" sort="Shklyarov, D L" uniqKey="Shklyarov D" first="D. L." last="Shklyarov">D. L. Shklyarov</name>
</noRegion>
<name sortKey="Sinel Shchikov, S D" sort="Sinel Shchikov, S D" uniqKey="Sinel Shchikov S" first="S. D." last="Sinel'Shchikov">S. D. Sinel'Shchikov</name>
<name sortKey="Vaksman, L L" sort="Vaksman, L L" uniqKey="Vaksman L" first="L. L." last="Vaksman">L. L. Vaksman</name>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001342 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 001342 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Mathematiques
   |area=    BourbakiV1
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     ISTEX:9550EFAF61E4A7708C300F4C6B2CB1D0FF4D27D3
   |texte=   q -analogues of some bounded symmetric domains
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022