Title | Mathematics Past and Present Fourier Integral Operators [electronic resource] / edited by Jochen Brรผning, Victor W. Guillemin |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994 |

Connect to | http://dx.doi.org/10.1007/978-3-662-03030-1 |

Descript | VIII, 288 p. online resource |

SUMMARY

What is the true mark of inspiration? Ideally it may mean the originality, freshness and enthusiasm of a new breakthrough in mathematical thought. The reader will feel this inspiration in all four seminal papers by Duistermaat, Guillemin and Hรถrmander presented here for the first time ever in one volume. However, as time goes by, the price researchers have to pay is to sacrifice simplicity for the sake of a higher degree of abstraction. Thus the original idea will only be a foundation on which more and more abstract theories are being built. It is the unique feature of this book to combine the basic motivations and ideas of the early sources with knowledgeable and lucid expositions on the present state of Fourier Integral Operators, thus bridging the gap between the past and present. A handy and useful introduction that will serve novices in this field and working mathematicians equally well

CONTENT

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

Mathematics
Mathematical analysis
Analysis (Mathematics)
Physics
Mathematics
Analysis
Mathematical Methods in Physics
Numerical and Computational Physics