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Consistency of rank tests against some general alternatives.
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A.L. Katsevich and A.G. Ramm, Some mathematical results in the theory of signal and image processing. Doklady RAN (1994) 339, No. 1, 11–14 (in Russian).
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Nonparametric estimation of the singularities of a signal from noisy measurements.
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A. I. Katsevich and A. G. Ramm, Nonparametric estimation of the singularities of a signal from noisy measurements. Proc. Amer. Math. Soc. (1994) 121, No.4, 1221–1234.
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Asymptotics of PDO on discontinuous functions near singular support.
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A. I. Katsevich and A. G. Ramm, Asymptotics of PDO on discontinuous functions near singular support. Appl. Analysis (1995) 58, No. 3-4, 383–390.
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New methods for finding values of the jumps of a function from its local tomographic data.
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A. I. Katsevich and A. G. Ramm, New methods for finding values of the jumps of a function from its local tomographic data. Inverse Problems (1995) 11, No. 5, 1005–1023.
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Inverse Problems
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Finding singular support of a function from its tomographic data.
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A. I. Katsevich and A. G. Ramm, Finding singular support of a function from its tomographic data. Proc. Japan Acad. Ser. A (1995) 71, No. 3, 62–67.
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Consistency of a rank test against general alternatives of change points (surfaces) and continuous trend.
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A.I. Katsevich and A. G. Ramm, Consistency of a rank test against general alternatives of change points (surfaces) and continuous trend. Acta Appl. Math. (1996) 42, No. 2, 105–137.
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E. Liflyand, A.G. Ramm and A.I. Zaslavsky, Estimates from below for Lebesgue constants. J. Fourier Anal, and Appl. (1996) 2, No. 3, 287–301.
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A.G. Ramm, Inversion formula and singularities of the solution for the backprojection operator in tomography. Proc. Amer. Math. Soc. (1996) 124, No. 2, 567–577.
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