Geodesic
Exponential synthesis in the kernel of a~symmetric convolution
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 44, Tome 447 (2016), pp. 129-170

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The paper describes a certain class of homogeneous equations of convolution type in spaces of analytic functions on convex domains. Sufficient conditions are formulated under which every solution of an equation from this class is approximated by its elementary solutions. 
@article{ZNSL_2016_447_a9,
     author = {A. B. Shishkin},
     title = {Exponential synthesis in the kernel of a~symmetric convolution},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {129--170},
     publisher = {mathdoc},
     volume = {447},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_447_a9/}
}
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A. B. Shishkin. Exponential synthesis in the kernel of a~symmetric convolution. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 44, Tome 447 (2016), pp. 129-170. http://geodesic.mathdoc.fr/item/ZNSL_2016_447_a9/