现代数学物理方法（第2卷）

图书标准信息

• 作者 M.Reed、B.Simon 著
• 出版社 世界图书出版公司
• 出版时间 2011-10
• 版次 1
• ISBN 9787506259323
• 定价 53.00元
• 装帧 平装
• 开本 32开
• 纸张 胶版纸
• 页数 361页
• 正文语种 英语

【内容简介】

Thisvolumecontinuesourseriesoftextsdevotedtofunctionalanalysismethodsinmathematicalphysics.InVolumeIweannouncedatableofcontentsforVolumeII.However,inthepreparationofthematerialitbecameclearthatwewouldbeunabletotreatthesubjectmatterinsufficientdepthinonevolume.Thus,thevolumecontainsChaptersIXandX;weexpectthatathirdvolumewillappearinthenearfuturecontainingtherestofthematerialannouncedas"AnalysisofOperators."Wehopetocontinuethisserieswithanadditionalvolumeonalgebraicmethods.

【目录】

Preface

Introduction

Contents of Other Volumes

IX: THE FOURIER TRANSFORM

1. The Fourier transform on（Rn）andc'（Rn）,cconvolutions

2. The range of the Fourier transform: Classical spaces

3. The range of the Fourier transform: Analyticity

4. Lp Estimates

Appendix Abstract interpolation

5.Fundamental solutions of partial differential equations with constant coefficients

6. Elliptic regularity

7. The free Hamiltonian for nonrelativistic quantum mechanics

8. The Garding-Wightman axioms

Appendix Lorentz invariant measures

9. Restriction to submanifolds

10. Products of distributions,wave front sets,and oscillatory integrals

Notes

Problems1

Reader's Guide

X:SELF-ADJOINTNESS AND THE EXISTENCE OF DYNAMICS

1. Extensions of symmetric operators

Appendix Motion on a half-line,limit point-limit circle methods

2. Perturbations of self-adjoint operators

3. Positivity and self-adjointness I: Quadratic forms

4. Positivity and self-adjointness II: Pointwise positivity

5. The commutator theorem

6. Analytic vectors

7. Free quantum fields

Appendix The Weyl relations for the free field

8. Semigroups and their generators

9. Hypercontractive semigroups

10. Graph Limits

11. The Feynman-Kac formula

12. Time-dependent Hamiltonians

13. Classical nonlinear wave equations

14. The Hilbert space approach to classical mechanics

Notes

Problems

Reader's Guide

List of Symbols

Index