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math.CV2013
Uniqueness property for quasiharmonic functions
S. A. Imomkulov, Z. Sh. Ibragimov
In this paper we consider class of continuous functions, called quasiaharmonic functions, admitting best approximations by harmonic polynomials. In this class we prove a uniqueness…
math.CV2012
Pluripolarity of Graphs of Denjoy Quasianalytic Functions of Several Variables
Sevdiyor Imomkulov, Zafar Ibragimov
In this paper we prove pluripolarity of graphs of Denjoy quasianalytic functions of several variables on the spanning set
math.CV2010
Pluripolarity of Graphs of Algebroid Functions
Zafar Ibragimov
In this paper has been proved the pluripolarity of graphs of algebroid functions
math.CV2009
Pluripolarity of graphs of quasianalytic functions in the sense of Gonchar
Sevdiyor Imomkulov, Zafar Ibragimov
We study functions defined on a closed segment of the real line that belong to the class of Gonchar. We show that the graphs of such functions are pluripolar. We also discuss the g…