Spectral Light as Sculptured Space
Irene Rousseau (2001)
Visual Mathematics
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Irene Rousseau (2001)
Visual Mathematics
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Henryk Iwaniec (1992)
Journal für die reine und angewandte Mathematik
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Amin Boumenir (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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We show that we can reconstruct two coefficients of a wave equation by a single boundary measurement of the solution. The identification and reconstruction are based on Krein’s inverse spectral theory for the first coefficient and on the Gelfand−Levitan theory for the second. To do so we use spectral estimation to extract the first spectrum and then interpolation to map the second one. The control of the solution is also studied.
Rakhmatullina, L.F. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Eeva Suvitie (2010)
Acta Arithmetica
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Hidehiko Mishou (2003)
Acta Arithmetica
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Lihua You, Yujie Shu, Xiao-Dong Zhang (2016)
Czechoslovak Mathematical Journal
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We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance spectral radius, the distance Laplacian spectral radius, the distance signless Laplacian spectral radius of an undirected graph or a digraph. These results are new or generalize some known results.
Robert Grone, Peter D. Johnson, Jr. (1982)
Colloquium Mathematicae
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Peter D. Johnson, Jr. (1978)
Colloquium Mathematicae
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