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Alternative Pseudodifferential Analysis
Details
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.
Includes supplementary material: sn.pub/extras
Inhalt
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783540779100
- Sprache Englisch
- Auflage 2008
- Größe H235mm x B155mm x T8mm
- Jahr 2008
- EAN 9783540779100
- Format Kartonierter Einband
- ISBN 3540779108
- Veröffentlichung 03.09.2008
- Titel Alternative Pseudodifferential Analysis
- Autor André Unterberger
- Untertitel With an Application to Modular Forms
- Gewicht 219g
- Herausgeber Springer Berlin Heidelberg
- Anzahl Seiten 136
- Lesemotiv Verstehen
- Genre Mathematik