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Alternative pseudodifferential analysis: with an application to modular forms

This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modu...

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Detalles Bibliográficos
Autor principal: Unterberger, André
Lenguaje:eng
Publicado: Springer 2008
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-77911-7
http://cds.cern.ch/record/1693447
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author Unterberger, André
author_facet Unterberger, André
author_sort Unterberger, André
collection CERN
description This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis. Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one.
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spelling cern-16934472021-04-21T21:04:35Zdoi:10.1007/978-3-540-77911-7http://cds.cern.ch/record/1693447engUnterberger, AndréAlternative pseudodifferential analysis: with an application to modular formsMathematical Physics and MathematicsThis volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis. Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one.Springeroai:cds.cern.ch:16934472008
spellingShingle Mathematical Physics and Mathematics
Unterberger, André
Alternative pseudodifferential analysis: with an application to modular forms
title Alternative pseudodifferential analysis: with an application to modular forms
title_full Alternative pseudodifferential analysis: with an application to modular forms
title_fullStr Alternative pseudodifferential analysis: with an application to modular forms
title_full_unstemmed Alternative pseudodifferential analysis: with an application to modular forms
title_short Alternative pseudodifferential analysis: with an application to modular forms
title_sort alternative pseudodifferential analysis: with an application to modular forms
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-77911-7
http://cds.cern.ch/record/1693447
work_keys_str_mv AT unterbergerandre alternativepseudodifferentialanalysiswithanapplicationtomodularforms