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Astroidal geometry of hypocycloids and the Hessian topology of hyperbolic polynomials

✍ Scribed by Arnol'd, Vladimir I


Book ID
120639722
Publisher
Turpion Limited
Year
2001
Tongue
English
Weight
640 KB
Volume
56
Category
Article
ISSN
0036-0279

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Differentiators and the geometry of poly
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In 1959, Davis introduced the concept of a differentiator of an operator on a finite-dimensional Hilbert space. We prove that every such operator possesses a differentiator. We also use the theory of differentiators to solve several problems in the geometry of polynomials. For instance, we answer in