Alternative Pseudodifferential Analysis: With an Application to Modular Forms (Lecture Notes in Mathematics) - Couverture souple

Unterberger, Andre

 
9783540779100: Alternative Pseudodifferential Analysis: With an Application to Modular Forms (Lecture Notes in Mathematics)
Couverture souple
ISBN 10 : 3540779108 ISBN 13 : 9783540779100
Editeur : Springer, 2008

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2008
Langue
anglais
ISBN 10 
3540779108
ISBN 13 
9783540779100
Reliure
Broché
Nombre de pages
136
Coordonnées du fabricant
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Heidelberg
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Allemagne

Autres éditions populaires du même titre

9783540870562: Alternative Pseudodifferential Analysis

Edition présentée

ISBN 10 :  3540870563 ISBN 13 :  9783540870562
Editeur : Springer, 2009
Couverture souple