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現(xiàn)代數(shù)學物理方法(第2卷 英文版)

現(xiàn)代數(shù)學物理方法(第2卷 英文版)

定 價:¥53.00

作 者: ( )Michael Reed,( )Barry Simon著
出版社: 世界圖書出版公司北京公司
叢編項:
標 簽: 暫缺

ISBN: 9787506259323 出版時間: 2003-01-01 包裝: 膠版紙
開本: 23cm 頁數(shù): 361頁 字數(shù):  

內(nèi)容簡介

  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.此書為英文版。

作者簡介

暫缺《現(xiàn)代數(shù)學物理方法(第2卷 英文版)》作者簡介

圖書目錄

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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