现代数学物理方法（第2卷）
出版时间:
2011-10
版次:
1
ISBN:
9787506259323
定价:
53.00
装帧:
平装
开本:
32开
纸张:
胶版纸
页数:
361页
正文语种:
英语
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Thisvolumecontinuesourseriesoftextsdevotedtofunctionalanalysismethodsinmathematicalphysics.InVolumeIweannouncedatableofcontentsforVolumeII.However,inthepreparationofthematerialitbecameclearthatwewouldbeunabletotreatthesubjectmatterinsufficientdepthinonevolume.Thus,thevolumecontainsChaptersIXandX;weexpectthatathirdvolumewillappearinthenearfuturecontainingtherestofthematerialannouncedas"AnalysisofOperators."Wehopetocontinuethisserieswithanadditionalvolumeonalgebraicmethods. PrefaceIntroductionContents of Other VolumesIX: THE FOURIER TRANSFORM1. The Fourier transform on（Rn）andc'（Rn）,cconvolutions2. The range of the Fourier transform: Classical spaces3. The range of the Fourier transform: Analyticity4. Lp EstimatesAppendix Abstract interpolation5.Fundamental solutions of partial differential equations with constant coefficients6. Elliptic regularity7. The free Hamiltonian for nonrelativistic quantum mechanics8. The Garding-Wightman axiomsAppendix Lorentz invariant measures9. Restriction to submanifolds10. Products of distributions,wave front sets,and oscillatory integralsNotesProblems1Reader's GuideX:SELF-ADJOINTNESS AND THE EXISTENCE OF DYNAMICS1. Extensions of symmetric operatorsAppendix Motion on a half-line,limit point-limit circle methods2. Perturbations of self-adjoint operators3. Positivity and self-adjointness I: Quadratic forms4. Positivity and self-adjointness II: Pointwise positivity5. The commutator theorem6. Analytic vectors7. Free quantum fieldsAppendix The Weyl relations for the free field8. Semigroups and their generators9. Hypercontractive semigroups10. Graph Limits11. The Feynman-Kac formula12. Time-dependent Hamiltonians13. Classical nonlinear wave equations14. The Hilbert space approach to classical mechanicsNotesProblemsReader's GuideList of SymbolsIndex
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内容简介:
Thisvolumecontinuesourseriesoftextsdevotedtofunctionalanalysismethodsinmathematicalphysics.InVolumeIweannouncedatableofcontentsforVolumeII.However,inthepreparationofthematerialitbecameclearthatwewouldbeunabletotreatthesubjectmatterinsufficientdepthinonevolume.Thus,thevolumecontainsChaptersIXandX;weexpectthatathirdvolumewillappearinthenearfuturecontainingtherestofthematerialannouncedas"AnalysisofOperators."Wehopetocontinuethisserieswithanadditionalvolumeonalgebraicmethods.
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目录:
PrefaceIntroductionContents of Other VolumesIX: THE FOURIER TRANSFORM1. The Fourier transform on（Rn）andc'（Rn）,cconvolutions2. The range of the Fourier transform: Classical spaces3. The range of the Fourier transform: Analyticity4. Lp EstimatesAppendix Abstract interpolation5.Fundamental solutions of partial differential equations with constant coefficients6. Elliptic regularity7. The free Hamiltonian for nonrelativistic quantum mechanics8. The Garding-Wightman axiomsAppendix Lorentz invariant measures9. Restriction to submanifolds10. Products of distributions,wave front sets,and oscillatory integralsNotesProblems1Reader's GuideX:SELF-ADJOINTNESS AND THE EXISTENCE OF DYNAMICS1. Extensions of symmetric operatorsAppendix Motion on a half-line,limit point-limit circle methods2. Perturbations of self-adjoint operators3. Positivity and self-adjointness I: Quadratic forms4. Positivity and self-adjointness II: Pointwise positivity5. The commutator theorem6. Analytic vectors7. Free quantum fieldsAppendix The Weyl relations for the free field8. Semigroups and their generators9. Hypercontractive semigroups10. Graph Limits11. The Feynman-Kac formula12. Time-dependent Hamiltonians13. Classical nonlinear wave equations14. The Hilbert space approach to classical mechanicsNotesProblemsReader's GuideList of SymbolsIndex
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