Linear Partial Differential Operators. 4th Printing

Lars Hörmander

Springer, Verlag

The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients (Grundlehren der mathematischen Wissenschaften)

From the reviews: "With the basic theory of distributions and Fourier analysis set down, volume II proceeds deeper into the study of linear PDE, particularly with constant coefficients. Detailed analysis is made of the regularity of certain fundamental solutions of general constant coefficient operators P(D), including a classification of when P(D) is hypoelliptic." American Mathematical Monthly#1 "The books are very careful written. They give a good introduction into the areas considered. The reviewer's opinion is that L. Hörmander`s books will be a basis for studying differential equations for a long time." ZAMM#2

The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients (Grundlehren Der Mathematischen Wissenschaften)

Science & Math

Mathematics

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 Prize 2006

The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators (Grundlehren Der Mathematischen Wissenschaften)

The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Grundlehren Der Mathematischen Wissenschaften)

Shipped from UK, please allow 10 to 21 business days for arrival. Good, 208pp. Good condition, good dust wrapper.

Introduction to Complex Analysis in Several Variables (The University Series in Higher Mathematics)

D.Van Nostrand

The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri-)subharmonic functions, pseudoconvex sets, and sets which are convex for supports or singular supports with respect to a differential operator. In addition, the convexity conditions which are relevant for local or global existence of holomorphic differential equations are discussed.

Notions of Convexity (Progress in Mathematics)

Birkhauser

Review .".. it is the best now available in print. ... All the theorems are there (among them the Schwartz kernel theorem), and all they have ... proofs." Bulletin of the American Mathematical Society "It certainly will be a classic for many years." Zentralblatt f r Mathematik

The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover))

Springer

The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators (Grundlehren Der Mathematischen Wissenschaften)

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.

The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators (Grundlehren der mathematischen Wissenschaften)

The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Grundlehren der mathematischen Wissenschaften)

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Books by Lars Hörmander