000 | 03307nam a22005655i 4500 | ||
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001 | 978-3-540-69798-5 | ||
003 | DE-He213 | ||
005 | 20190213151644.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 gw | s |||| 0|eng d | ||
020 |
_a9783540697985 _9978-3-540-69798-5 |
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024 | 7 |
_a10.1007/978-3-540-69798-5 _2doi |
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050 | 4 | _aQA331-355 | |
072 | 7 |
_aPBKD _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBKD _2thema |
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082 | 0 | 4 |
_a515.9 _223 |
100 | 1 |
_aChu, Cho-Ho. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aMatrix Convolution Operators on Groups _h[electronic resource] / _cby Cho-Ho Chu. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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300 |
_aIX, 114 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 |
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505 | 0 | _aLebesgue Spaces of Matrix Functions -- Matrix Convolution Operators -- Convolution Semigroups. | |
520 | _aIn the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions. | ||
650 | 0 | _aFunctions of complex variables. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aOperator theory. | |
650 | 0 | _aHarmonic analysis. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aFunctions of a Complex Variable. _0http://scigraph.springernature.com/things/product-market-codes/M12074 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
650 | 2 | 4 |
_aAbstract Harmonic Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12015 |
650 | 2 | 4 |
_aNon-associative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11116 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540865926 |
776 | 0 | 8 |
_iPrinted edition: _z9783540697978 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-69798-5 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11431 _d11431 |