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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Autor principal: Unterberger, André, 1940-...., mathématicien
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2008.
Colecção:Lecture Notes in Mathematics 1935
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Nota: L'impression du document génère 126 p.
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Edition sous un autre format:• Alternative pseudodifferential analysis, with an application to modular forms, André Unterberger, Berlin, Springer, 2008, 1 vol. (IX-118 p.), Lecture notes in mathematics, 978-3-540-77910-0
Descrição
Resumo: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
Descrição do item:L'impression du document génère 126 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9783540779117
ISSN:1617-9692
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