On the Closure of Elliptic Wedge Operators

We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.

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Veröffentlicht in:	The Journal of Geometric Analysis 2013-10, Vol.23 (4), p.2035-2062
Hauptverfasser:	Gil, Juan B., Krainer, Thomas, Mendoza, Gerardo A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics
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Beschreibung
Zusammenfassung:	We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-012-9319-z