Spectral Action in Noncommutative Geometry

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Eckstein, Michał (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Iochum, Bruno (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Σειρά:SpringerBriefs in Mathematical Physics, 27
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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505 0 |a Preface -- The dwelling of the spectral action -- The toolkit for computations -- Analytic properties of spectral functions -- Fluctuations of the spectral action -- Open problems -- Classical tool from geometry and analysis -- About "heat operators -- Definition of pdos, Sobolev spaces and a few spectral properties -- Complex parameter-dependent symbols and parametrix -- About e-t P as a pdo and about its kernel -- The small-t asymptotics of e-t P -- Meromorphic extensions of certain series and their residues -- Examples of spectral triples -- Spheres -- Tori -- Noncommutative tori -- Podle´s sphere -- Index. . 
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