| 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 AppendixTheWeylrelationsforthefreefield 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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