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Rank two parametric perturbations of operators and matrices are studied in various settings.
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Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures
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W. Młotkowski, N. Sakuma, Symmetrization of probability measures, pushforward of order 2 and the Boolean convolution. Noncommutative harmonic analysis with applications to probability III, 271–276, Banach Center Publ. , 96, Polish Acad. Sci. Inst. Math., Warsaw, 2012
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A.C.M. Ran, M. Wojtylak, Eigenvalues of rank one perturbations of unstructured matrices, Linear Algebra Appl
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H.S.V. de Snoo, H. Winkler, M. Wojtylak, Global and local behavior of zeros of nonpositive type, J. Math. Anal. Appl
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L. Batzke, C. Mehl, A.C.M. Ran, L. Rodman, Generic rank-k perturbations of structured matrices, Technical Report No. 1078, DFG Research Center Matheon, Berlin, 2015
2015
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C. Mehl, V. Mehrmann, M. Wojtylak, On the distance to singularity via low rank perturbations, Operators and Matrices
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