000 | 03181nam a22005055i 4500 | ||
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001 | 978-3-540-46210-1 | ||
003 | DE-He213 | ||
005 | 20190213151705.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1989 gw | s |||| 0|eng d | ||
020 |
_a9783540462101 _9978-3-540-46210-1 |
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024 | 7 |
_a10.1007/BFb0093683 _2doi |
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_aPBG _2bicssc |
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_aMAT014000 _2bisacsh |
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_aPBG _2thema |
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082 | 0 | 4 |
_a512.55 _223 |
082 | 0 | 4 |
_a512.482 _223 |
100 | 1 |
_aReiter, Hans. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aMetaplectic Groups and Segal Algebras _h[electronic resource] / _cby Hans Reiter. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1989. |
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300 |
_aXIV, 134 p. _bonline resource. |
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_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 ; _v1382 |
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505 | 0 | _aPreliminaries from harmonic analysis and group theory -- Segal algebras; the Segal algebra G 1 (G) -- Weil’s unitary operators and the Segal algebra G 1 (G) -- Weil’s group of operators and related groups -- Vector spaces and quadratic forms ever local fields -- Properties of certain quadratic forms -- Weil operators for vector spaces over local fields -- The metaplectic group (local case); Segal continuity -- The metaplectic group and Segal continuity in the adelic case -- Weil’s theorem 6. | |
520 | _aThese notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil. The theorem is derived here from some general results about this class which seems to be a rather natural one in the context of Weil's theory. No previous knowledge of the latter is assumed, however, and the theory is developed here, step by step; Further, a complete discussion of the Segal algebra concerned is given, with references to the literature. Weil's metaplectic groups are somewhat easier to investigate when the characteristic is not 2; the case of characteristic 2 presents some special features which are fully discussed. New problems that arise are indicated. | ||
650 | 0 | _aTopological Groups. | |
650 | 0 | _aNumber theory. | |
650 | 1 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
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: _z9783662192009 |
776 | 0 | 8 |
_iPrinted edition: _z9783540514176 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1382 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093683 |
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