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Heat trace and spectral action on the standard Podleś sphere

2014
journal article
article
10.1007/s00220-014-2054-5
Journal
Communications in Mathematical Physics
40
Author
Eckstein Michał

Iochum Bruno

Sitarz Andrzej
Volume
332
Issue
2
Pages
627-668
ISSN
0010-3616
eISSN
1432-0916
Language
English
Container language
English
Abstract in English

We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e., not only the asymptotics) heat-trace of standard Podleś spheres for 0 < q < 1, study its behaviour when , and fully compute its exact spectral action for an explicit class of cut-off functions.

Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
cris.lastimport.wos2024-04-09T18:57:47Z
dc.abstract.enWe give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e., not only the asymptotics) heat-trace of standard Podleś spheres $S_{q}^{2}$ for 0 < q < 1, study its behaviour when $q\rightarrow 1$, and fully compute its exact spectral action for an explicit class of cut-off functions.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorEckstein, Michał - 106698 pl
dc.contributor.authorIochum, Brunopl
dc.contributor.authorSitarz, Andrzej - 100147 pl
dc.date.accessioned2015-04-27T13:42:12Z
dc.date.available2015-04-27T13:42:12Z
dc.date.issued2014pl
dc.description.number2pl
dc.description.physical627-668pl
dc.description.publication2,5pl
dc.description.volume332pl
dc.identifier.doi10.1007/s00220-014-2054-5pl
dc.identifier.eissn1432-0916pl
dc.identifier.issn0010-3616pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/5882
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licencebez licencji
dc.rights.uri*
dc.subtypeArticlepl
dc.titleHeat trace and spectral action on the standard Podleś spherepl
dc.title.journalCommunications in Mathematical Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T18:57:47Z
dc.abstract.enpl
We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e., not only the asymptotics) heat-trace of standard Podleś spheres $S_{q}^{2}$ for 0 < q < 1, study its behaviour when $q\rightarrow 1$, and fully compute its exact spectral action for an explicit class of cut-off functions.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Eckstein, Michał - 106698
dc.contributor.authorpl
Iochum, Bruno
dc.contributor.authorpl
Sitarz, Andrzej - 100147
dc.date.accessioned
2015-04-27T13:42:12Z
dc.date.available
2015-04-27T13:42:12Z
dc.date.issuedpl
2014
dc.description.numberpl
2
dc.description.physicalpl
627-668
dc.description.publicationpl
2,5
dc.description.volumepl
332
dc.identifier.doipl
10.1007/s00220-014-2054-5
dc.identifier.eissnpl
1432-0916
dc.identifier.issnpl
0010-3616
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/5882
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
bez licencji
dc.rights.uri*
dc.subtypepl
Article
dc.titlepl
Heat trace and spectral action on the standard Podleś sphere
dc.title.journalpl
Communications in Mathematical Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Eckstein, Michał
No affiliation
Iochum, Bruno
Sitarz, Andrzej

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