Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

• Sung Guen Kim ^[1]
  1. [1] Kyungpook National University

     Kyungpook National University

     Corea del Sur

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 37, Nº 2, 2022, págs. 243-259
• Idioma: inglés
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• Resumen

  • Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm ||(x, y)|| = max{|y|, |x| + |y|/2} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on R2 with the hexagonal norm.