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<title><string language="fre"><![CDATA[Andras Vasy - The Feynman propagator and its positivity properties]]></string></title>
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<string language="fre"><![CDATA[One usually considers wave equations as evolution equations, i.e. 
imposes initial data and solves them. Equivalently, one can consider the
forward and backward solution operators for the wave equation; these 
solve an equation Lu=f" style="position: relative;" tabindex="0" id="MathJax-Element-1-Frame">Lu=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.]]></string></description>
<keyword><string language="fre"><![CDATA[Feynman]]></string></keyword><keyword><string language="fre"><![CDATA[Grenoble (Isère)]]></string></keyword><keyword><string language="fre"><![CDATA[institut fourier]]></string></keyword><keyword><string language="fre"><![CDATA[colloquium mathalp]]></string></keyword><keyword><string language="fre"><![CDATA[Propagator]]></string></keyword>
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<date><dateTime>2016-05-12</dateTime></date>
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<entity><![CDATA[BEGIN:VCARD
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<date><dateTime>2016-05-12</dateTime></date>
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