On a generalization of the notion of a semi-group
Włodzimierz Waliszewski (1966)
Colloquium Mathematicae
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Włodzimierz Waliszewski (1966)
Colloquium Mathematicae
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Charles Feffermann, Raghavan Narasimhan (1994)
Annales de l'institut Fourier
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Given integers and a constant , consider the space of -tuples of real polynomials in variables of degree , whose coefficients are in absolute value, and satisfying . We study the family of algebraic functions, where is a polynomial, and being a constant depending only on . The main result is a quantitative extension theorem for these functions which is uniform in . This is used to prove Bernstein-type inequalities which are again uniform with respect to . ...
Basu, S., Pollack, R., Roy, M.-F. (2004)
Zapiski Nauchnykh Seminarov POMI
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Robert Robson (1983)
Mathematische Zeitschrift
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Claus Scheiderer (1989)
Mathematische Zeitschrift
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Konrad Schmüdgen (1991)
Mathematische Annalen
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Alfred L. Foster, Alden Pixley (1966)
Mathematische Zeitschrift
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Alfred L. Foster, Alden F. Pixley (1966)
Mathematische Zeitschrift
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Abdelhafed Elkhadiri (2013)
Annales de l’institut Fourier
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We give some structures without quantifier elimination but in which the closure, and hence the interior and the boundary, of a quantifier free definable set is also a quantifier free definable set.
J. Janikowski (1967)
Colloquium Mathematicae
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J. Wójcik (1975)
Acta Arithmetica
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