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Alternative Pseudodifferential Analysis : With an Application to Modular Forms / by André Unterberger

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 1935Publisher: Berlin, Heidelberg : Springer, 2008Description: Online-Ressource (IX, 118 p, online resource)ISBN:
  • 9783540779117
Subject(s): Additional physical formats: 9783540779100 | Erscheint auch als: Alternative pseudodifferential analysis. Druck-Ausgabe Berlin : Springer, 2008. IX, 118 S.DDC classification:
  • 515.353
  • 515.7242
MSC: MSC: *22E45 | 11F11 | 47-02 | 43A80 | 35Q40 | 35S05 | 47G30 | 11F37 | 81S30RVK: RVK: SI 850LOC classification:
  • QA370-380
  • QA3
DOI: DOI: 10.1007/978-3-540-77911-7Online resources: Summary: Preface -- Introduction -- The Metaplectic and Anaplectic Representations -- The One-dimensional Alternative Pseudodifferential Analysis -- From Anaplectic Analysis to Usual Analysis -- Pseudodifferential Analysis and Modular Forms -- Index -- Bibliography.Summary: 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.PPN: PPN: 1647592178Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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