Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91

Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91
Author: Lars Hörmander
Publisher: Princeton University Press
Total Pages: 296
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400881587

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. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.

Seminar on Singularities of Solutions of Linear Partial Differential Equations

Seminar on Singularities of Solutions of Linear Partial Differential Equations
Author: George F. Oster
Publisher: Princeton University Press
Total Pages: 295
Release: 1978
Genre: Mathematics
ISBN: 0691082138

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. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.

The Analysis of Linear Partial Differential Operators III

The Analysis of Linear Partial Differential Operators III
Author: Lars Hörmander
Publisher: Springer Science & Business Media
Total Pages: 537
Release: 2007-03-15
Genre: Mathematics
ISBN: 3540499377

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.

Classical Microlocal Analysis in the Space of Hyperfunctions

Classical Microlocal Analysis in the Space of Hyperfunctions
Author: Seiichiro Wakabayashi
Publisher: Springer
Total Pages: 373
Release: 2007-05-06
Genre: Mathematics
ISBN: 3540451617

The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.

Potential Theory--ICPT 94

Potential Theory--ICPT 94
Author: Josef Král
Publisher: Walter de Gruyter
Total Pages: 520
Release: 1996
Genre: Mathematics
ISBN: 9783110146547

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

The Analysis of Linear Partial Differential Operators II

The Analysis of Linear Partial Differential Operators II
Author: Lars Hörmander
Publisher: Springer Science & Business Media
Total Pages: 416
Release: 2004-11-17
Genre: Mathematics
ISBN: 9783540225164

Author received the 1962 Fields Medal Author received the 1988 Wolf Prize (honoring achievemnets of a lifetime) Author is leading expert in partial differential equations

The Selected Works of V.S. Varadarajan

The Selected Works of V.S. Varadarajan
Author: V. S. Varadarajan
Publisher: American Mathematical Soc.
Total Pages: 652
Release: 1999
Genre: Mathematics
ISBN: 9780821810682

V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions. This book is jointly published by the AMS and the International Press.