000 | 03839nam a22005895i 4500 | ||
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001 | 978-3-540-47793-8 | ||
003 | DE-He213 | ||
005 | 20190213151444.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540477938 _9978-3-540-47793-8 |
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024 | 7 |
_a10.1007/b83280 _2doi |
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050 | 4 | _aQA403-403.3 | |
072 | 7 |
_aPBKD _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBKD _2thema |
|
082 | 0 | 4 |
_a515.785 _223 |
100 | 1 |
_aChu, Cho-Ho. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aHarmonic Functions on Groups and Fourier Algebras _h[electronic resource] / _cby Cho-Ho Chu, Anthony To-Ming Lau. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aVII, 100 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 |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1782 |
|
505 | 0 | _a1. Introduction -- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples -- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals -- References -- List of symbols -- Index. | |
520 | _aThis research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals. | ||
650 | 0 | _aHarmonic analysis. | |
650 | 0 | _aPotential theory (Mathematics). | |
650 | 0 | _aIntegral equations. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aAbstract Harmonic Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12015 |
650 | 2 | 4 |
_aPotential Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12163 |
650 | 2 | 4 |
_aIntegral Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12090 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aSeveral Complex Variables and Analytic Spaces. _0http://scigraph.springernature.com/things/product-market-codes/M12198 |
700 | 1 |
_aLau, Anthony To-Ming. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662200254 |
776 | 0 | 8 |
_iPrinted edition: _z9783540435952 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1782 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b83280 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
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