Geodesic
Holomorphic continuation of functions along a fixed direction (survey)
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 127-143

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In this article, we give an overview of the most significant and important results on holomorphic extensions of functions along a fixed direction. We discuss the following geometric questions of multidimensional complex analysis: holomorphic extension along a bundle of complex straight line, the Forelly theorem; holomorphic continuation of functions with thin singularities along a fixed direction; holomorphic continuation of functions along a family of analytic curves. 
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     author = {A. S. Sadullaev},
     title = {Holomorphic continuation of functions along a fixed direction (survey)},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {127--143},
     publisher = {mathdoc},
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     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a9/}
}
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A. S. Sadullaev. Holomorphic continuation of functions along a fixed direction (survey). Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 127-143. http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a9/