Books written by Lars Hörmander.
Hörmander won the Fields Medal in 1962 for his work in partial differential equations. His Analysis of Linear Partial Differential Operators I–IV is considered a standard work on the subject of linear partial differential operators. He also won the Wolf Prize in 1988.
The Analysis of Linear Partial Differential Operators I: Distribution Theory And Fourier Analysis
The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients
The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators
The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators
Unpublished Manuscripts: from 1951 to 2007
Hörmander himself organised the manuscripts and also wrote the notes explaining their origins, presenting the material in the form he fully intended it to be published in. As his daughter, Sofia Broström, mentions in the Foreword, towards the end of his life, Hörmander "carefully went through his unpublished manuscripts, checking and revising each of them with his very critical eye, deciding what should be kept for posterity and what should be thrown out".
Lectures on Nonlinear Hyperbolic Differential Equations
In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions.
Introduction to Complex Analysis in Several Variables
Collected Papers of Marcel Riesz
Riesz worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation.
Partial Differential Equations and Mathematical Physics
The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it received a substantial input of ideas from that field.
Notions of Convexity
The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively.
Seminar on Singularities of Solutions of Linear Partial Differential Equations
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978.