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The analysis of linear partial differential operators IV = 线性偏微分算子分析 第4卷 🔍
L.Hormander著, ( )Lars Hormander著, Rmander Ho, Lars Hörmander 世界图书出版公司北京公司, 2005, 2005
英语 [en] · 中文 [zh] · PDF · 93.3MB · 2005 · 📗 未知类型的图书 · 🚀/duxiu/zlibzh · Save
描述
From the reviews:'Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators.'L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987'This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation.'J. Brüning in Zentralblatt MATH, 1987 Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize2006
备用文件名
zlibzh/no-category/L.Hormander著, ( )Lars Hormander著, Rmander Ho, Lars Hörmander/线性偏微分算子分析 第4卷_41670307.pdf
备选标题
The Analysis Of Linear Partial Differential Operators Iv: Fourier Integral Operators (grundlehren Der Mathematischen Wissenschaften - A Series Of Comprehensive Studies In Mathematics 275)
备选标题
线性偏微分算子分析 : [英文版]. 第4卷
备选作者
Hörmander, Lars, Hormander, Lars
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用出版商
World Books Publishing Corporation
备用出版商
Springer ; 世界图书出版公司
备用出版商
Copernicus
备用出版商
Telos
备用版本
Grundlehren der mathematischen Wissenschaften ;, 256-257, 274-275, Grundlehren der mathematischen Wissenschaften ;, 256, etc., Berlin, New York, Germany, 1983
备用版本
Grundlehren der mathematischen Wissenschaften, 256-257, 274-275, Berlin ; New York, 1983-1985
备用版本
Grundlehren der mathematischen Wissenschaften, v. 257, 274, 275, 2nd ed, Berlin, ©1990-1994
备用版本
Grundlehren der mathematischen Wissenschaften, 275, Rev. ed, Berlin, 1985
备用版本
Grundlehren der Mathematischen Wissenschaften Ser, New York, Jan. 1995
备用版本
Grundlehren der mathematischen Wissenschaften, Beijing, 2005
备用版本
1st ed. 1985. Corr. 2nd printing edition, June 9, 2000
备用版本
United States, United States of America
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China, People's Republic, China
备用版本
Springer Nature, Berlin, 2009
备用版本
Di 1 ban, Beijing, 2005
备用版本
Di 1 ban, 2012-01
备用版本
August 1994
元数据中的注释
Bookmarks: p1 (p1): Introduction
p2 (p3): Chapter XXV. Lagrangian Distributions and Fourier Integral Operators
p2-1 (p3): Summary
p2-2 (p4): 25.1. Lagrangian Distributions
p2-3 (p17): 25.2. The Calculus of Fourier Integral Operators
p2-4 (p24): 25.3. Special Cases of the Calculus, and L2 Continuity
p2-5 (p35): 25.4. Distributions Associated with Positive Lagrangian Ideals
p2-6 (p43): 25.5. Fourier Integral Operators with Complex Phase
p2-7 (p52): Notes
p3 (p54): Chapter XXVI. Pseudo-Differential Operators of Principal Type
p3-1 (p54): Summary
p3-2 (p57): 26.1. Operators with Real Principal Symbols
p3-3 (p73): 26.2. The Complex Involutive Case
p3-4 (p81): 26.3. The Symplectic Case
p3-5 (p91): 26.4. Solvability and Condition (ψ)
p3-6 (p110): 26.5. Geometrical Aspects of Condition (P)
p3-7 (p117): 26.6. The Singularities in N11
p3-8 (p123): 26.7. Degenerate Cauchy-Riemann Operators
p3-9 (p134): 26.8. The Nirenberg-Treves Estimate
p3-10 (p137): 26.9. The Singularities in Ne 2 and in Ne 12
p3-11 (p149): 26.10. The Singularities on One Dimensional Bicharacteristics
p3-12 (p161): 26.11. A Semi-Global Existence Theorem
p3-13 (p163): Notes
p4 (p165): Chapter XXVII. Subelliptic Operators
p4-1 (p165): Summary
p4-2 (p165): 27.1. Definitions and Main Results
p4-3 (p171): 27.2. The Taylor Expansion of the Symbol
p4-4 (p178): 27.3. Subelliptic Operators Satisfying (P)
p4-5 (p183): 27.4. Local Properties of the Symbol
p4-6 (p202): 27.5. Local Subelliptic Estimates
p4-7 (p212): 27.6. Global Subelliptic Estimates
p4-8 (p219): Notes
p5 (p220): Chapter XXVIII. Uniqueness for the Cauchy problem
p5-1 (p220): Summary
p5-2 (p220): 28.1. Calderón's Uniqueness Theorem
p5-3 (p234): 28.2. General Carleman Estimates
p5-4 (p239): 28.3. Uniqueness Under Convexity Conditions
p5-5 (p242): 28.4. Second Order Operators of Real Principal Type
p5-6 (p248): Notes
p6 (p249): Chapter XXIX. Spectral Asymptotics
p6-1 (p249): Summary
p6-2 (p249): 29.1. The Spectral Measure and its Fourier Transform
p6-3 (p263): 29.2. The Case of a Periodic Hamilton Flow
p6-4 (p271): 29.3. The Weyl Formula for the Dirichlet Problem
p6-5 (p274): Notes
p7 (p276): Chapter XXX. Long Range Scattering Theory
p7-1 (p276): Summary
p7-2 (p277): 30.1. Admissible Perturbations
p7-3 (p281): 30.2. The Boundary Value of the Resolvent, and the Point Spectrum
p7-4 (p296): 30.3. The Hamilton Flow
p7-5 (p308): 30.4. Modified Wave Operators
p7-6 (p314): 30.5. Distorted Fourier Transforms and Asymptotic Completeness
p7-7 (p330): Notes
p8 (p332): Bibliography
p9 (p350): Index
p10 (p352): Index of Notation
元数据中的注释
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元数据中的注释
Includes bibliographies and indexes.
Expanded version of the author's 1 vol. work: Linear partial differential operators.
Includes various editions of some vols.
备用描述
<p><p>from The Reviews&#58; <p>volumes Iii And Iv Complete L. H&ouml;rmander's Treatise On Linear Partial Differential Equations. They Constitute The Most Complete And Up-to-date Account Of This Subject, By The Author Who Has Dominated It And Made The Most Significant Contributions In The Last Decades.....it Is A Superb Book, Which Must Be Present In Every Mathematical Library, And An Indispensable Tool For All - Young And Old - Interested In The Theory Of Partial Differential Operators. L. Boutet De Monvel In Bulletin Of The American Mathematical Society, 1987<p>this Treatise Is Outstanding In Every Respect And Must Be Counted Among The Great Books In Mathematics. It Is Certainly No Easy Reading (...) But A Careful Study Is Extremely Rewarding For Its Wealth Of Ideas And Techniques And The Beauty Of Presentation. J. Br&uuml;ning In Zentralblatt Math, 1987<p>honours Awarded To Lars H&ouml;rmander&#58; Fields Medal 1962, Speaker At International Congress 1970, Wolf Prize 1988, Ams Steele Prize 2006</p>
备用描述
From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades ... It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987"This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006
备用描述
Volumes III and IV complete this treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject by the author who has dominated it and made the most significant contributions in the last decades.
备用描述
Author received the 1962 Fields MedalAuthor received the 1988 Wolf Prize (honoring achievemnets of a lifetime)Author is leading expert in partial differential equations
备用描述
1. Distribution theory and Fourier analysis
2. Differential operators with constant coefficients
3. Pseudo-differential operators
4. Fourier integral operators.
备用描述
第4卷目次: 拉格朗日分布和傅立叶积分算子;主型的伪微分算子;次椭圆算子柯西问题的惟一性;谱渐近;长区域散射
开源日期
2024-06-13
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