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On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities
Author(s) -
Krainer Thomas
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201010074
Subject(s) - completeness (order theory) , mathematics , conical surface , eigenfunction , gravitational singularity , elliptic operator , pure mathematics , cone (formal languages) , mathematical analysis , geometry , eigenvalues and eigenvectors , physics , algorithm , quantum mechanics
We show the completeness of the system of generalized eigenfunctions of closed extensions of elliptic cone operators under suitable conditions on the symbols (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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