Geodesic
Morera’s theorem and functional series in the class of $A$-analytic functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 50-59

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The aim of this paper is to investigate $A$-analytic functions in a special case when the function $A$ is an anti-analytic function in a domain. We prove that a continuous function satisfying the integral condition of the Cauchy theorem is $A$-analytic (an analog of Morera's theorem, Sec. 2). In Sec. 3 we prove an analog of the Weierstrass theorem for functional series of $A$-analytic functions and the expansion of $A$-analytic functions into functional series (Sec. 4).
Keywords: $A$-analytic functions, analog of Morera's theorem, analog of the Weierstrass theorem, expansion of $A$-analytic functions. 
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     title = {Morera{\textquoteright}s theorem and functional series in the class of $A$-analytic functions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Nasridin M. Jabborov. Morera’s theorem and functional series in the class of $A$-analytic functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 50-59. http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a7/