Representation of holomorphic functions of many variables by Cauchy-Stieltjes-type integrals

• Datum: 2006
• Hauptverfasser: Savchuk, V. V., Савчук, В. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3471
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider functions of many complex variables that are holomorphic in a polydisk or in the upper half-plane. We give necessary and sufficient conditions under which a holomorphic function is a Cauchy-Stieltjes-type integral of a complex charge. We present several applications of this criterion to...