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035   $a(DE-He213)978-3-540-69798-5
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100   $a20100301d2008      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMatrix Convolution Operators on Groups$b[electronic resource] /$fby Cho-Ho Chu
205   $a1st ed. 2008.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008.
215   $a1 online resource (IX, 114 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-69797-7 
320   $aIncludes bibliographical references and index.
327   $aLebesgue Spaces of Matrix Functions -- Matrix Convolution Operators -- Convolution Semigroups.
330   $aIn the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions.
410  0$aLecture Notes in Mathematics,$x0075-8434
606   $aFunctions of complex variables
606   $aDifferential geometry
606   $aFunctional analysis
606   $aOperator theory
606   $aHarmonic analysis
606   $aNonassociative rings
606   $aRings (Algebra)
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aNon-associative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11116
615  0$aFunctions of complex variables.
615  0$aDifferential geometry.
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aHarmonic analysis.
615  0$aNonassociative rings.
615  0$aRings (Algebra).
615 14$aFunctions of a Complex Variable.
615 24$aDifferential Geometry.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aAbstract Harmonic Analysis.
615 24$aNon-associative Rings and Algebras.
676   $a512.2
700   $aChu$b Cho-Ho$4aut$4http://id.loc.gov/vocabulary/relators/aut$066924
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483261703321
996   $aMatrix Convolution Operators on Groups$9230595
997   $aUNINA