no. 2
On the different notions of convexity for rotationally invariant functions
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 2 (1993) no. 2, pp. 163-184. 
@article{AFST_1993_6_2_2_163_0,
     author = {Dacorogna, Bernard and Koshigoe, Hideyuki},
     title = {On the different notions of convexity for rotationally invariant functions},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {163--184},
     publisher = {Universit\'e Paul Sabatier},
     volume = {Ser. 6, 2},
     number = {2},
     year = {1993},
     zbl = {0828.49016},
     mrnumber = {1253387},
     language = {en},
     url = {archive.numdam.org/item/AFST_1993_6_2_2_163_0/}
}
Dacorogna, Bernard; Koshigoe, Hideyuki. On the different notions of convexity for rotationally invariant functions. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 2 (1993) no. 2, pp. 163-184. http://archive.numdam.org/item/AFST_1993_6_2_2_163_0/

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