Download PDF by J.J. Duistermaat: Fourier Integral Operators (Modern Birkhäuser Classics)

By J.J. Duistermaat

This quantity is an invaluable advent to the topic of Fourier essential Operators and is predicated at the author’s vintage set of notes. protecting a number themes from Hörmander’s exposition of the idea, Duistermaat methods the topic from symplectic geometry and comprises software to hyperbolic equations (= equations of wave style) and oscillatory asymptotic options which can have caustics.
This textual content is appropriate for mathematicians and (theoretical) physicists with an curiosity in (linear) partial differential equations, in particular in wave propagation, rep. WKB-methods. Familiarity with research (distributions and Fourier transformation) and differential geometry comes in handy. also, this booklet is designed for a one-semester introductory direction on Fourier vital operators aimed toward a huge audience.

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Fourier Integral Operators (Modern Birkhäuser Classics) by J.J. Duistermaat

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