Growth at infinity of a polynomial with a compact zero set
Janusz Gwoździewicz (1998)
Banach Center Publications
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Displaying similar documents to “Wold decomposition of the Hardy space and Blaschke products similar to a contraction”
Growth at infinity of a polynomial with a compact zero set
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Topuridze, N. (2003)
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Brunotte, Horst (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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On Garcia numbers.
Brunotte, Horst (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Linearizability of a polynomial system
Diana Doličanin, Valery G. Romanovski (2005)
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The Diophantine equation f(x) = g(y)
Yuri Bilu, Robert Tichy (2000)
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A note on a multi-variable polynomial link invariant
Adam Sikora (1996)
Colloquium Mathematicae
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The growth of regular functions on algebraic sets
A. Strzeboński (1991)
Annales Polonici Mathematici
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We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.
Extension of polynomial mappings with a given Łojasiewicz exponent.
Karaś, Marek (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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A geometric approach to the Jacobian Conjecture in ℂ²
Ludwik M. Drużkowski (1991)
Annales Polonici Mathematici
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We consider polynomial mappings (f,g) of ℂ² with constant nontrivial jacobian. Using the Riemann-Hurwitz relation we prove among other things the following: If g - c (resp. f - c) has at most two branches at infinity for infinitely many numbers c or if f (resp. g) is proper on the level set (resp. ), then (f,g) is bijective.
On branches at infinity of a pencil of polynomials in two complex variables
T. Krasiński (1991)
Annales Polonici Mathematici
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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.
On the computation of the GCD of 2-D polynomials
Panagiotis Tzekis, Nicholas Karampetakis, Haralambos Terzidis (2007)
International Journal of Applied Mathematics and Computer Science
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The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.