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Sandwich Bernstein-Sato Polynomials and Bernstein's Inequality

open access: yes
Bernstein's inequality is a central result in the theory of $D$-modules on smooth varieties. While Bernstein's inequality fails for rings of differential operators on general singularities, recent work of Àlvarez Montaner, Hernández, Jeffries, Núñez-Betancourt, Teixeira, and Witt establishes Bernstein's inequality for invariants of finite groups in ...
Jeffries, Jack, Lieberman, David
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Generalized Bernstein polynomials

open access: yesDuke Mathematical Journal, 1949
Hirschman, Jr., I. I., Widder, D. V.
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Generalized Bernstein Polynomials

open access: yes, 2014
ABSTRACT: This thesis consisting of three chapters is concerned with Bernstein polynomials. In the first chapter, an introduction to Bernstein polynomials is given. Then, basic properties of Bernstein polynomials are studied in the second chapter.
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