Scattering theory of the p-form Laplacian on manifolds with generalized cusps

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dc.identifier.uri http://dx.doi.org/10.15488/2348
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2374
dc.contributor.author Hunsicker, Eugenie
dc.contributor.author Roidos, Nikolaos
dc.contributor.author Strohmaier, Alexander
dc.date.accessioned 2017-11-17T12:10:50Z
dc.date.available 2017-11-17T12:10:50Z
dc.date.issued 2014
dc.identifier.citation Hunsicker, E.; Roidos, N.; Strohmaier, A.: Scattering theory of the p-form Laplacian on manifolds with generalized cusps. In: Journal of Spectral Theory 4 (2014), Nr. 1, S. 177-209. DOI: https://doi.org/10.4171/JST/66
dc.description.abstract In this paper we consider scattering theory on manifolds with special cusp-like metric singularities of warped product type g=dx2+x−2ah, where a>0. These metrics form a natural subset in the class of metrics with warped product singularities and they can be thought of as interpolating between hyperbolic and cylindrical metrics. We prove that the resolvent of the Laplace operator acting on p-forms on such a manifold extends to a meromorphic function defined on the logarithmic cover of the complex plane with values in the bounded operators between weighted L2-spaces. This allows for a construction of generalized eigenforms for the Laplace operator as well as for a meromorphic continuation of the scattering matrix. We give a precise description of the asymptotic expansion of generalized eigenforms on the cusp and find that the scattering matrix satisfies a functional equation. eng
dc.language.iso eng
dc.publisher Zürich : European Mathematical Society Publishing House
dc.relation.ispartofseries Journal of Spectral Theory 4 (2014), Nr. 1
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Generalized cusps eng
dc.subject Laplacian eng
dc.subject Resolvent eng
dc.subject Scattering matrix eng
dc.subject Spectral resolution eng
dc.subject.ddc 530 | Physik ger
dc.title Scattering theory of the p-form Laplacian on manifolds with generalized cusps
dc.type article
dc.type Text
dc.relation.issn 1664-039X
dc.relation.doi https://doi.org/10.4171/JST/66
dc.bibliographicCitation.issue 1
dc.bibliographicCitation.volume 4
dc.bibliographicCitation.firstPage 177
dc.bibliographicCitation.lastPage 209
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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