Brüning

Mathematics Past and Present Fourier Integral Operators

Ed. by Jochen Brünning and Victor W. Guillemin
Mitarbeit:Duistermaat, Johannes J.; Guillemin, Victor W.; Hörmander, Lars

• Gebundenes Buch

Produktbeschreibung

In den vier grundlegenden Artikeln, die in diesem Buch zum ersten Mal in Buchform erscheinen, spürt der Leser die Inspiration, Kraft und Frische eines wichtigen mathematischen Durchbruchs. Die vier Artikel von Duistermaat, Guillemin und Hörmander stellen einen Meilenstein in der Entwicklung dieses mathematischen Gebiets dar. Die neuen Gedanken, die in diesen vier Artikeln in sehr klarer und verständlicher Form präsentiert werden, wurden zum Fundament für ein immer abstrakter werdendes Theoriengebäude. Auch durch die detaillierten einführenden Kommentare von V. Guillemin gelingt es diesem Buch, sowohl die ursprüngliche Motivation und die grundlegenden Ideen der frühen Quellen darzustellen, als auch die spätere Entwicklung und den heutigen Forschungsstand aufzuzeigen. Kurz: Es ist geglückt, die Kluft zwischen Vergangenheit und Gegenwart zu überbrücken.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-56741-7
• 1994.
• Seitenzahl: 288
• Englisch
• Abmessung: 232mm
• Gewicht: 558g
• ISBN-13: 9783540567417
• ISBN-10: 3540567410
• Artikelnr.: 24449876

Autorenporträt

Hans Duistermaat was a geometric analyst, who unexpectedly passed away in March 2010. His research encompassed many different areas in mathematics: ordinary differential equations, classical mechanics, discrete integrable systems, Fourier integral operators and their application to partial differential equations and spectral problems, singularities of mappings, harmonic analysis on semisimple Lie groups, symplectic differential geometry, and algebraic geometry. He was (co-)author of eleven books. Duistermaat was affiliated to the Mathematical Institute of Utrecht University since 1974 as a Professor of Pure and Applied Mathematics. During the last five years he was honored with a special professorship at Utrecht University endowed by the Royal Netherlands Academy of Arts and Sciences. He was also a member of the Academy since 1982. He had 23 PhD students.

Lars Hörmander, born 1931 in Sweden, did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars Gårding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor.

Hörmander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators.

Inhaltsangabe

25 Years of Fourier Integral Operators.- Fourier Integral Operators. I.- Fourier Integral Operators. II.- The Spectral Function of an Elliptic Operator.- The Spectrum of Positive Elliptic Operators and Periodic Bicharacteristics.