現代數學物理方法（第2卷）

《現代數學物理方法（第2卷）》是2003年北京世界圖書出版公司出版的圖書，作者是MichaelReed。

基本介紹

• 書名：現代數學物理方法（第2卷）
• 作者：MichaelReed
• ISBN：9787506259323
• 頁數：361
• 定價：53.00元
• 出版社：北京世界圖書出版公司
• 出版時間：2003-6

內容簡介

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。

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