000 | 03218nam a22005415i 4500 | ||
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001 | 978-3-540-46396-2 | ||
003 | DE-He213 | ||
005 | 20190213151548.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540463962 _9978-3-540-46396-2 |
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024 | 7 |
_a10.1007/BFb0089147 _2doi |
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050 | 4 | _aQA612-612.8 | |
072 | 7 |
_aPBPD _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
|
072 | 7 |
_aPBPD _2thema |
|
082 | 0 | 4 |
_a514.2 _223 |
100 | 1 |
_aBanaszczyk, Wojciech. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aAdditive Subgroups of Topological Vector Spaces _h[electronic resource] / _cby Wojciech Banaszczyk. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aVII, 182 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1466 |
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505 | 0 | _aPreliminaries -- Exotic groups -- Nuclear groups -- The bochner theorem -- Pontryagin duality. | |
520 | _aThe Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a nuclear group, which includes LCA groups and nuclear locally convex spaces together with their additive subgroups, quotient groups and products. For (metrizable, complete) nuclear groups one obtains analogues of the Pontryagin duality theorem, of the Bochner theorem and of the Lévy-Steinitz theorem on rearrangement of series (an answer to an old question of S. Ulam). The book is written in the language of functional analysis. The methods used are taken mainly from geometry of numbers, geometry of Banach spaces and topological algebra. The reader is expected only to know the basics of functional analysis and abstract harmonic analysis. | ||
650 | 0 | _aAlgebraic topology. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aDiscrete Mathematics. _0http://scigraph.springernature.com/things/product-market-codes/M29000 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662215265 |
776 | 0 | 8 |
_iPrinted edition: _z9783540539179 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1466 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0089147 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11108 _d11108 |