The Radon transform and its dual for limits of symmetric spaces

Oct 14, 2013 - K = Gθ and let Ko = K ∩Go be the maximal compact subgroup corre- sponding to θ. Then X = Go/Ko is a Riemannian symmetric space of...

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Feb 21, 2017 - RT] 21 Feb 2017. THE RADON TRANSFORM ON ... B. Invert the transforms f ↦→ RK,Hf and ϕ ↦→ R∗. K,Hϕ on suitable function spaces.

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the comments in the preceding paragraph, this extension of f is square-integrable over G/K. Then (21) tells us that et∆G/K /2f = Φ. D. 4. Inversion formula. In this section, we continue to consider symmetric spaces G/K of the complex type. However

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Oct 25, 2006 - during tomography meeting in Oberwolfach in August, 2006, where our results where also presented for the first time.) The spherical case is discussed in Sections 1 through 3. A series solution for a general acquisition geometry is pres

Oct 24, 2015 - ∗Department of Applied Mathematics and Computer Science, Technical University of ... the data g = Rµf. For example, in case of the classical Radon transform the use of filter P = 1/2 · (2π)1−n(−∂2/∂s2)n−1. 2 in (4) leads

of propagation and domain dependence for the wave equation. 1 Introduction .... Hence, non-injectivity sets are exactly the nodal sets of oscillating free infinite ..... transducers are collimated in such a way that they register the signals.