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A note on k-plane integral transforms. (English) Zbl 0416.44003


MSC:

44A15 Special integral transforms (Legendre, Hilbert, etc.)
58J40 Pseudodifferential and Fourier integral operators on manifolds
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References:

[1] Benedek, A.; Panzone, R., The spaces \(L^p\) with mixed norms, (Duke Math. J., 28 (1961)), 301-324 · Zbl 0107.08902
[2] Budinger, T. F., Current and future applications of reconstruction techniques, (Proc. FASEB Symp. (1976))
[3] Helgason, S., The Radon transform on Euclidean spaces, compact two-point homogeneous spaces, and Grassmann manifolds, Acta Math., 113, 153-180 (1965) · Zbl 0163.16602
[4] Ludwig, D., The Radon transform on Euclidean spaces, Comm. Pure Appl. Math., 23, 49-81 (1966) · Zbl 0134.11305
[5] Radon, J., Über die Bestimmung von Functionen durch ihre Integralwerte langs gewisser Manigfaltigkeiten, Bayer. Akad. Wiss. Math.-Natur. Kl. S.-B., 69, 262-277 (1917) · JFM 46.0436.02
[6] Smith, K. T.; Solmon, D. C., Lower dimensional integrability of \(L^2\) functions, J. Math. Anal. Appl., 51, 539-549 (1975) · Zbl 0308.28004
[7] Smith, K. T.; Solmon, D. C.; Wagner, S. L., Practical and mathematical aspects of the problem of reconstructing objects from radiographs, Bull. Amer. Math. Soc., 83, 1227-1270 (1977) · Zbl 0521.65090
[8] Sobolev, S. L., Sur un théorème de l’analyse fonctionelle, C. R. Acad. Sci. U.R.S.S., 29, 5-9 (1938) · Zbl 0019.26602
[9] Solmon, D. C., The X-ray transform, J. Math. Anal. Appl., 56, 61-83 (1976) · Zbl 0334.44007
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