Fourier Integral Operators

J.J. Duistermaat

nov. 2010 · Springer Science & Business Media

E-knjiga

142

Strani

Ocene in mnenja niso preverjeni. Več o tem

O tej e-knjigi

More than twenty years ago I gave a course on Fourier Integral Op erators at the Catholic University of Nijmegen (1970-71) from which a set of lecture notes were written up; the Courant Institute of Mathematical Sciences in New York distributed these notes for many years, but they be came increasingly difficult to obtain. The current text is essentially a nicely TeXed version of those notes with some minor additions (e.g., figures) and corrections. Apparently an attractive aspect of our approach to Fourier Integral Operators was its introduction to symplectic differential geometry, the basic facts of which are needed for making the step from the local definitions to the global calculus. A first example of the latter is the definition of the wave front set of a distribution in terms of testing with oscillatory functions. This is obviously coordinate-invariant and automatically realizes the wave front set as a subset of the cotangent bundle, the symplectic manifold in which the global calculus takes place.

O avtorju

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.

Ocenite to e-knjigo

Povejte nam svoje mnenje.

Informacije o branju

Pametni telefoni in tablični računalniki

Namestite aplikacijo Knjige Google Play za Android in iPad/iPhone. Samodejno se sinhronizira z računom in kjer koli omogoča branje s povezavo ali brez nje.

Prenosni in namizni računalniki

Poslušate lahko zvočne knjige, ki ste jih kupili v Googlu Play v brskalniku računalnika.

Bralniki e-knjig in druge naprave

Če želite brati v napravah, ki imajo zaslone z e-črnilom, kot so e-bralniki Kobo, morate prenesti datoteko in jo kopirati v napravo. Podrobna navodila za prenos datotek v podprte bralnike e-knjig najdete v centru za pomoč.

Prijava nezakonite vsebine