Fourier Integral Operators - Brossura

Duistermaat, J.J.

Brossura

ISBN 10: 0817681078 ISBN 13: 9780817681074

Casa editrice: Birkhäuser, 2010

Riassunto

This useful introduction to Fourier Integral Operators approaches the subject from symplectic geometry and includes application to hyperbolic equations and oscillatory asymptotic solutions which may have caustics.

Su questo libro

Recensione:

From the reviews:

This book remains a superb introduction to the theory of Fourier integral operators. While there are further advances discussed in other sources, this book can still be recommended as perhaps the very best place to start in the study of this subject.
―SIAM Review

This book is still interesting, giving a quick and elegant introduction to the field, more adapted to nonspecialists.

―Zentralblatt MATH
The book is completed with applications to the Cauchy problem for strictly hyperbolic equations and caustics in oscillatory integrals. The reader should have some background knowledge in analysis (distributions and Fourier transformations) and differential geometry. 
―Acta Sci. Math.

“Duistermaat’s Fourier Integral Operators had its genesis in a course the author taught at Nijmegen in 1970. ... For the properly prepared and properly disposed mathematical audience Fourier Integral Operators is a must. ... it is a very important book on a subject that is both deep and broad.” (Michael Berg, The Mathematical Association of America, May, 2011)

L'autore:

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.

Su questa edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2010
• ISBN 10: 0817681078
• ISBN 13: 9780817681074
• Rilegatura: Copertina flessibile
• Numero di pagine: 156