现代数学物理方法（第2卷）

出版时间：2003-6  出版社：北京世界图书出版公司  作者：[]MichaelReed，[  页数：361  
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内容概要

This volume continues our series of texts devoted to functional analysis methods in mathematical physics. In Volume I we announced a table of contents for Volume II. However, in the preparation of the material it became clear that we would be unable to treat the subject matter in sufficient depth in one volume. Thus, the volume contains Chapters IX and X; we expect that a third volume will appear in the near future containing the rest of the material announced as "Analysis of Operators." We hope to continue this series with an additional volume on algebraic methods.

书籍目录

PrefaceIntroductionContentscofcOthercVolumesIX: THEFOURIERTRANSFORM  1. TheFouriertransformon(Rn)andc'(Rn),cconvolutions  2. TherangecoftheFouriertransform:Classicalspaces  3. TherangeoftheFouriertransform:Analyticity  4. LpcEstimates8a8c8ac888c888a8a8  Appendix Abstract interpolation  5. Fundamentalsolutionsofpartialdifferentialequationswithconstantcoefficients  6. Ellipticregularity  7. ThefreeHamiltonianfornonrelativisticcquantumcmechanics  8. TheGarding-Wightmancaxioms  AppendixcLorentzcinvariantmeasures   9. Restrictiontosubmanifolds   10. Productsofdistributions,wavefrontsets,andoscillatorycintegrals  Notes  Problems1  Reader'sGuideX:SELF-ADJOINTNESSANDTHEEXISTENCEOFDYNAMICS  1. Extensionsofsymmetricoperators  AppendixMotiononachalf-line,limitcpoint-limitcirclecmethods  2. Perturbationsofself-adjointoperators　3. Positivityandself-adjointnessI:cQuadraticforms　4. Positivityandself-adjointnessII:cPointwisepositivity　5. Thecommutatortheorem　6. Analyticcvectors　7. ccFreecquantumcfields　Appendix　TheWeyl　relations　for　thefree　field　8. Semigroupsandtheirgenerators　9. Hypercontractivesemigroups　10. GraphLimits　11. ThecFeynman-Kaccformula　12. Time-dependentHamiltonians　13　. Classicalnonlinearwaveequations　14. ThecHilbertcspacecapproachctocclassicalcmechanicsNotesProblemsReader'scGuideListcofcSymbolsIndex

用户评论 (总计8条)

•   现代数学物理方法中的方法比较好
•   这套书对于物理系来说，难度适中，深度也还可以
•   zhendebucip
•   　正在艰难地阅读中……
•   书很好，全新的！
•   这本书不错，推荐给数学物理相关专业研究人员
•   其实这套书写的很丰富，方方面面的细节都做到了，看下来需要功夫
•   黄皮这个版本印刷的质量比较好。大家之作，虽然难念，但还是值得一读。