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

Abstract

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.

Keywords

Coherent State Wigner Function Discrete Series Active Symbol Radon Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2008

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