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978-3-540-77911-7
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9783540779117
978-3-540-77911-7
10.1007/978-3-540-77911-7
doi
ISI Library, Kolkata
QA370-380
PBKJ
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MAT007000
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PBKJ
thema
515.353
23
Unterberger, André.
author.
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Alternative Pseudodifferential Analysis
[electronic resource] :
With an Application to Modular Forms /
by André Unterberger.
Berlin, Heidelberg :
Springer Berlin Heidelberg :
Imprint: Springer,
2008.
IX, 118 p.
online resource.
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Lecture Notes in Mathematics,
0075-8434 ;
1935
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.
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.
Differential equations, partial.
Topological Groups.
Fourier analysis.
Number theory.
Partial Differential Equations.
http://scigraph.springernature.com/things/product-market-codes/M12155
Topological Groups, Lie Groups.
http://scigraph.springernature.com/things/product-market-codes/M11132
Fourier Analysis.
http://scigraph.springernature.com/things/product-market-codes/M12058
Number Theory.
http://scigraph.springernature.com/things/product-market-codes/M25001
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Printed edition:
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9783540779100
Lecture Notes in Mathematics,
0075-8434 ;
1935
https://doi.org/10.1007/978-3-540-77911-7
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Mathematics and Statistics (Springer-11649)
425770
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