A spectral approach to the Kaplansky problem
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Irene Rousseau (2001)
Visual Mathematics
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Rakhmatullina, L.F. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Rumin, Michael
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Robert Grone, Peter D. Johnson, Jr. (1982)
Colloquium Mathematicae
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Zagorodnyuk, S. M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 15A29. In this paper we introduced a notion of the generalized spectral function for a matrix J = (gk,l)k,l = 0 Ґ, gk,l О C, such that gk,l = 0, if |k-l | > N; gk,k+N = 1, and gk,k-N № 0. Here N is a fixed positive integer. The direct and inverse spectral problems for such matrices are stated and solved. An integral representation for the generalized spectral function is obtained.
Peter D. Johnson, Jr. (1978)
Colloquium Mathematicae
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