Jagiellonian University Repository

Asymptotic and exact expansions of heat traces

Asymptotic and exact expansions of heat traces

Show full item record

dc.contributor.author Eckstein, Michał [SAP14007713] pl
dc.contributor.author Zając, Artur [USOS30592] pl
dc.date.accessioned 2015-12-14T14:37:24Z
dc.date.available 2015-12-14T14:37:24Z
dc.date.issued 2015 pl
dc.identifier.issn 1385-0172 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/18252
dc.language eng pl
dc.rights Udzielam licencji. Uznanie autorstwa 3.0 Polska *
dc.rights.uri http://creativecommons.org/licenses/by/3.0/pl/legalcode *
dc.title Asymptotic and exact expansions of heat traces pl
dc.type JournalArticle pl
dc.abstract.en We study heat traces associated with positive unbounded operators with compact inverses. With the help of the inverse Mellin transform we derive necessary conditions for the existence of a short time asymptotic expansion. The conditions are formulated in terms of the meromorphic extension of the associated spectral zeta-functions and proven to be verified for a large class of operators. We also address the problem of convergence of the obtained asymptotic expansions. General results are illustrated with a number of explicit examples. pl
dc.subject.en heat traces pl
dc.subject.en asymptotic expansions pl
dc.subject.en spectral theory pl
dc.subject.en zeta-functions pl
dc.subject.en general Dirichlet series pl
dc.description.volume 18 pl
dc.description.number 1 pl
dc.description.publication 2,9 pl
dc.identifier.doi 10.1007/s11040-015-9197-2 pl
dc.identifier.eissn 1572-9656 pl
dc.title.journal Mathematical Physics, Analysis and Geometry pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.affiliation Wydział Matematyki i Informatyki pl
dc.subtype Article pl
dc.identifier.articleid 28 pl
dc.rights.original CC-BY; inne; ostateczna wersja wydawcy; w momencie opublikowania; 0; pl
dc.pbn.affiliation USOS30592:UJ.WMI; pl
.pointsMNiSW [2015 A]: 25

Files in this item

This item appears in the following Collection(s)

Udzielam licencji. Uznanie autorstwa 3.0 Polska Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 3.0 Polska