Part of the Pseudo-Differential Operators book series (PDO, volume 1)


In this chapter, we develop the appropriate pseudodifferential calculus suitable for the analysis of operators acting on the space Hτ+1, τ > -1 , of a representation taken from the prolongation of the projective discrete series of representations of SL(2,ℝ) .When τ = -1/2, the representation in question is equivalent, under some intertwining, to the even part of the one-dimensional metaplectic representation, and that obtained when τ = 1/2 is equivalent to the odd part of the metaplectic representation.


Coherent State Wigner Function Discrete Series Active Symbol Radon Transformation 
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Copyright information

© Birkhäuser Verlag AG 2008

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