4.2 Article

The Lagrangian Radon Transform and the Weil Representation

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SPRINGER BIRKHAUSER
DOI: 10.1007/s00041-013-9315-0

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Radon transform; Symplectic group; Weil representation; Siegel half-plane; Intertwining operators; Invariant differential operators; Fourier transform

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  1. FWF [P 22122, P 25142]

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We consider the operator , which sends a function on to its integrals over all affine Lagrangian subspaces in . We discuss properties of the operator and of the representation of the affine symplectic group in several function spaces on .

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