Bernstein's inequality on algebraic curves
Charles Fefferman, Raghavan Narasimhan (1993)
Annales de l'institut Fourier
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Charles Fefferman, Raghavan Narasimhan (1993)
Annales de l'institut Fourier
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Masahiro Shiota (1983)
Annales de l'institut Fourier
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A semi-algebraic analytic manifold and a semi-algebraic analytic map are called a Nash manifold and a Nash map respectively. We clarify the category of Nash manifolds and Nash maps.
Włodzimierz Waliszewski (1966)
Colloquium Mathematicae
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Basu, S., Pollack, R., Roy, M.-F. (2004)
Zapiski Nauchnykh Seminarov POMI
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Marston Morse (1959-1960)
Compositio Mathematica
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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 . ...
Jean-Claude Tougeron (1971)
Publications Mathématiques de l'IHÉS
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Charatonik, Janusz J. (2003)
Mathematica Pannonica
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