@article{1461144,
      recid = {1461144},
      author = {Ferrer, Jesús. and Garcia, Domingo, and Maestre, Manuel.  and Muñoz Cuenca, Gustavo Adolfo. and Rodríguez, Daniel L.  and Seoane, Juan B.},
      title = {Geometry of the unit sphere in polynomial spaces /},
      publisher = {Springer,},
      address = {Cham :},
      pages = {1 online resource (140 p.).},
      year = {2022},
      abstract = {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.},
      url = {http://library.usi.edu/record/1461144},
      doi = {https://doi.org/10.1007/978-3-031-23676-1},
}