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A General Dixmier Trace Formula for the Density of States on Open Manifolds

We give an abstract formulation of the Dixmier trace formula for the density of states. This recovers prior versions and allows us to provide a Dixmier trace formula for the density of states of second-order elliptic differential operators on manifolds of bounded geometry satisfying a certain geomet...

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Bibliographic Details
Published in:	Symmetry, Integrability and Geometry: Methods and Applications
Date:	2024
ISSN:	1815-0659
Main Authors:	Hekkelman, Eva-Maria, McDonald, Edward
Format:	Article
Language:	English
Published:	Інститут математики НАН України 2024
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/212116
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Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	A General Dixmier Trace Formula for the Density of States on Open Manifolds. Eva-Maria Hekkelman and Edward McDonald. SIGMA 20 (2024), 007, 34 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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