000 | 03297nam a22005175i 4500 | ||
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001 | 978-3-540-77911-7 | ||
003 | DE-He213 | ||
005 | 20190213151134.0 | ||
007 | cr nn 008mamaa | ||
008 | 140315s2008 gw | s |||| 0|eng d | ||
020 |
_a9783540779117 _9978-3-540-77911-7 |
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024 | 7 |
_a10.1007/978-3-540-77911-7 _2doi |
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050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
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072 | 7 |
_aMAT007000 _2bisacsh |
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072 | 7 |
_aPBKJ _2thema |
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082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aUnterberger, André. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aAlternative Pseudodifferential Analysis _h[electronic resource] : _bWith an Application to Modular Forms / _cby André Unterberger. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2008. |
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300 |
_aIX, 118 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1935 |
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505 | 0 | _aPreface -- 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. | |
520 | _aThis 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. | ||
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aFourier analysis. | |
650 | 0 | _aNumber theory. | |
650 | 1 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058 |
650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540870562 |
776 | 0 | 8 |
_iPrinted edition: _z9783540779100 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1935 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-77911-7 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
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