Heat kernel asymptotics for roots of generalized Laplacians

C. Bär
S. Moroianu

2003, Journal articles: Internat. J. Math., Vol. 14, 4, 397-412, 16 p.

DOI: 10.1142/s0129167x03001788

@article{eae10e72ba874f13be450c0ad31d90e6,

title = "Heat kernel asymptotics for roots of generalized Laplacians",

abstract = "We describe the heat kernel asymptotics for roots of a Laplace type operator Δ on a closed manifold. A previously known relation between the Wodzicki residue of Δ and heat trace asymptotics is shown to hold pointwise for the corresponding densities.",

keywords = "Complex powers, Heat kernel, Laplace type operators, Mellin transformation, Wodzicki residue",

author = "Christian B{\"a}r and Sergiu Moroianu",

note = "Anzahl Autoren: 2 | Bar, C| Moroianu, S",

year = "2003",

month = jun,

day = "1",

doi = "10.1142/s0129167x03001788",

language = "English",

volume = "14",

pages = "397--412",

journal = "Internat. J. Math.",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

Abstract

We describe the heat kernel asymptotics for roots of a Laplace type operator Δ on a closed manifold. A previously known relation between the Wodzicki residue of Δ and heat trace asymptotics is shown to hold pointwise for the corresponding densities.

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