TY - T1 - Characterizations of the lebesgue measure and product measures related to holomorphic functions having non-negative imaginary or real part SN - / UR - http://hdl.handle.net/10138/330901 T3 - A1 - Nedic, Mitja A2 - PB - Y1 - 2020 LA - eng AB - In this paper, we study a class of Borel measures on Double-struck capital Rn that arises as the class of representing measures of Herglotz-Nevanlinna functions. In particular, we study product measures within this class where products with the Lebesgue measures play a special role. Hence, we give several characterizations of the n-dimensional Lebesgue measure among all such measures and characterize all product measures that appear in this class of measures. Furthermore, analogous results for t... VO - IS - SP - OP - KW - Several complex variables; Herglotz-Nevanlinna functions; Nevanlinna measures; measures with vanishing mixed Fourier coefficients; HERGLOTZ-NEVANLINNA FUNCTIONS; APPROXIMATION; POLYDISK; 111 Mathematics N1 - PP - ER -