EAN: 9783031236754

SPRINGERBRIEFS IN MATHEMATICS GEOMETRY OF THE...

This brief presents a global perspective on the geometry of spaces of polynomials. Its
particular focus is on polynomial spaces of dimension 3  providing  in that case  a graphical
representation of the unit ball. Also  the extreme points in the unit ball of several
polynomial spaces are characterized. Finally  a number of applications to obtain sharp
classical polynomial inequalities are presented. The study performed is the first ever complete
account on the geometry of the unit ball of polynomial spaces. Nowadays there are hundreds of
research papers on this topic and our work gathers the state of the art of the main and or
relevant results up to now. This book is intended for a broad audience  including undergraduate
and graduate students  junior and senior researchers and it also serves as a source book for
consultation. In addition to that  we made this work visually attractive by including in it
over 50 original figures in order to help in the understanding of all the results and
techniques included in the book.

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