000 03307nam a22005655i 4500
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
024 7 _a10.1007/978-3-540-69798-5
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.9
_223
100 1 _aChu, Cho-Ho.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMatrix Convolution Operators on Groups
_h[electronic resource] /
_cby Cho-Ho Chu.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aIX, 114 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434
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