MatrixPolynomials(ClassicsinAppliedMathematics)

作者 I. Gohberg著P. Lancaster著L. Rodman著
出版社 SocietyforIndustrialandAppliedMathematic
出版时间 2009年6月
ISBN 9780898716818
定价 675.70

内容简介

Knowledgeofananalyticgroupimpliesknowledgeofitsmodulecategory.Howevercompleteknowledgeofthecategorydoesnotdeterminethegroup.ProfessorMagidshowsherethatthecategorydeterminesanother,largergroupandanalgebraoffunctionsinthisnewgroup.Thenewgroupanditsfunctionalgebraarecompletelydescribed;thisdescriptionthustellseverythingthatisknownwhenthemodulecategory,asacategory,isgiven.Thiscategoricalviewbringstogetherandhighlightsthesignificanceofearlierworkinthisareabyseveralauthors,aswellasyieldingnewresults.ByincludingmanyexamplesandcomputationsProfessorMagidhaswrittenacompleteaccountofthesubjectthatisaccessibletoawideaudience.Graduatestudentsandprofessionalswhohavesomeknowledgeofalgebraicgroups,LiegroupsandLiealgebraswillfindthisausefulandinterestingtext.

作者简介

I.GohbergisProfessorEmeritusofTel-AvivUniversityandFreeUniversityofAmsterdamandDoctorHonorisCausaofseveralEuropeanuniversities.Hehascontributedtothefieldsoffunctionalanalysisandoperatortheory,integralequationsandsystemstheory,matrixanalysisandlinearalgebra,andcomputationaltechniquesforstructuredintegralequationsandstructuredmatrices.Hehascoauthored25booksindifferentareasofpureandappliedmathematics.P.LancasterisProfessorEmeritusandFacultyProfessorintheDepartmentofMathematicsandStatisticsattheUniversityofCalgary.Hisresearchinterestsaremainlyinmatrixanalysisandlinearalgebraasappliedtovibratingsystems,systemsandcontroltheory,andnumericalanalysis.Hehaspublishedprolificallyintheformofmonographs,texts,andjournalpublications.L.RodmanisProfessorofMathematicsattheCollegeofWilliamandMary.Hehasdoneextensiveworkinmatrixanalysis,operatortheory,andrelatedfields.Hehasauthoredonebook,co-authoredsixothers,andservedasaco-editorofseveralvolumes.

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