Abstract
The Radon transformation and its dual, or their associates, of which each component of the transformation Θ in Theorem 1.1.1 is a special case, connect the analysis of functions in the plane and in the hyperbolic half-plane: when enriched with an automorphy condition, the dual Radon transformation will also set up a correspondence, in Chapter 3, from automorphic distribution theory (in the plane) to automorphic function theory (in the half-plane).
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© 2011 Springer Basel
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Unterberger, A. (2011). The Radon transformation and applications. In: Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms. Pseudo-Differential Operators, vol 8. Springer, Basel. https://doi.org/10.1007/978-3-0348-0166-9_2
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DOI: https://doi.org/10.1007/978-3-0348-0166-9_2
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0165-2
Online ISBN: 978-3-0348-0166-9
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