Titlebook: Geometry of the Unit Sphere in Polynomial Spaces; Jesús Ferrer,Domingo García,Juan B. Seoane Book 2022 The Author(s), under exclusive lice

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2191-8198 tive by including in it over 50 original figures in order to help in the understanding of allthe results and techniques included in the book..978-3-031-23675-4978-3-031-23676-1Series ISSN 2191-8198 Series E-ISSN 2191-8201

Pessary

Polynomials of Degree ,premum norm defined on the interval [−1, 1] (when the polynomial is defined over .) or on the unit disk (when the polynomial is defined over .). More precisely, we are interested on the parametrization of the unit ball as well as the extreme points when we are dealing with the space of polynomials o

红肿

Spaces of Trinomials,nt scenarios. To be more precise, we will study the geometry of the space of real trinomials in one variable with the supremum norm and the . norm, the space of real trinomials in two variables with the supremum norm and finally the space of complex trinomials with the supremum norm.

figure

Applications,orms whose unit balls can be described in ., but mainly we have tried to obtain the extreme polynomials of the unit balls. We have also studied some of the extreme polynomials in arbitrary dimensions and we have even described some of the extreme polynomials of arbitrary degree. The reason behind th

Friction

Friction

Polynomials of Degree ,precisely, we are interested on the parametrization of the unit ball as well as the extreme points when we are dealing with the space of polynomials of degree at most 2. For the space of polynomials of arbitrary degree with the supremum norm defined on [−1, 1], we are only interested on the extreme polynomials of the unit ball.

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FAWN

Tdd526

https://doi.org/10.1007/978-3-030-32918-1precisely, we are interested on the parametrization of the unit ball as well as the extreme points when we are dealing with the space of polynomials of degree at most 2. For the space of polynomials of arbitrary degree with the supremum norm defined on [−1, 1], we are only interested on the extreme polynomials of the unit ball.