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现代数学物理方法(第2卷)

现代数学物理方法(第2卷)

  • 装帧: 平装
  • 出版社: 世界图书出版社
  • 作者: M.REED
  • 出版日期: 2008-03-01
  • 商品条码: 9787506259323
  • 版次: 1
  • 出版年份: 2008
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内容简介
    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.
目录
Preface
Introduction
ContentscofcOthercVolumes
IX: 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'sGuide
X: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. ThecHilbertcspacecapproachctocclassicalcmechanics
Notes
Problems
Reader'scGuide
ListcofcSymbols
Index

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