Journal of Siberian Federal University. Mathematics & Physics: On Carleman’s Formula in Cn [m X m]

Journal of Siberian Federal University. Mathematics & Physics / On Carleman’s Formula in Cn [m X m]

Issue: Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors: Khudayberganov, Gulmirza G.; Prenov, Barlikbay B.; Abdullayev, Jonibek Sh.; Ruzmetov, Kudrat Sh.
Contact information: Khudayberganov, Gulmirza G. : National University of Uzbekistan Tashkent, Uzbekistan; OCRID: 0000-0002-4837-8331; Prenov, Barlikbay B. : Nukus state pedagogical institute named after Ajiniyaz Nukus, Republic of Karakalpakstan, Uzbekistan; OCRID: 0009-0003-4963-9059; Abdullayev, Jonibek Sh. : Urgench State University Urgench, Uzbekistan; OCRID: 0000-0001-8950-2135; Ruzmetov, Kudrat Sh. : Tashkent State Agrarian University Tashkent, Uzbekistan; OCRID: 0000-0002-2238-0345
Keywords: Carleman‘s formulas; holomorphic function; Hardy space; holomorphic continuation; matrix unit disc; automorphism
Abstract: This paper considers Carleman’s integral formula for a function of matrices in the space Cn [m × m]. The resulting formula is a general case of G. Khudayberganov’s result
Pages: 484–490
EDN: JFMMFC
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/156168