2020-10-29T02:49:38Zhttp://www.canal-u.tv/oai2/index.php2016-05-26Canal-U_Ocms21956<string language="fre"><![CDATA[Andras Vasy - The Feynman propagator and its positivity properties]]></string>ENGLu=f, for say f" style="position: relative;" tabindex="0" id="MathJax-Element-2-Frame">f compactly supported, by demanding that u" style="position: relative;" tabindex="0" id="MathJax-Element-3-Frame">u
is supported at points which are reachable by forward, respectively
backward, time-like or light-like curves. This property corresponds to
causality. But it has been known for a long time that in certain
settings, such as Minkowski space, there are other ways of solving wave
equations, namely the Feynman and anti-Feynman solution operators
(propagators). I will explain a general setup in which all of these
propagators are inverses of the wave operator on appropriate function
spaces, and also mention positivity properties, and the connection to
spectral and scattering theory in Riemannian settings, as well as to the
classical parametrix construction of Duistermaat and Hörmander.]]>LOMFRv1.0image en mouvement2016-05-122016-05-12LOMv1.0LOMFRv1.0video/mp43996856303PT1H5M4SURIhttps://www.canal-u.tv/producteurs/institut_fourier/colloquium_mathalp