The special circulant matrix and units in group rings.
Gildea, Joe (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Gildea, Joe (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Abujabal, H.A.S., Khan, M.A. (1998)
Georgian Mathematical Journal
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Sehgal, Sudarshan, Szigeti, Jenő (2002)
Beiträge zur Algebra und Geometrie
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Veldsman, Stefan (2003)
Beiträge zur Algebra und Geometrie
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Neuwirth, Erich (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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Nowak, Krzysztof Jan (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Enrique Navarro, Rafael Company, Lucas Jódar (1993)
Applicationes Mathematicae
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In this paper we consider Bessel equations of the type , where A is an nn complex matrix and X(t) is an nm matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
Brešar, M., Chebotar, M.A. (2002)
Beiträge zur Algebra und Geometrie
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Dress, Andreas, Siebeneicher, Christian (1992)
Séminaire Lotharingien de Combinatoire [electronic only]
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Zhang, X. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Bhattacharjee, D. (1999)
Georgian Mathematical Journal
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Maria-Angeles Zurro (1998)
Banach Center Publications
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The paper establishes the basic algebraic theory for the Gevrey rings. We prove the Hensel lemma, the Artin approximation theorem and the Weierstrass-Hironaka division theorem for them. We introduce a family of norms and we look at them as a family of analytic functions defined on some semialgebraic sets. This allows us to study the analytic and algebraic properties of this rings.