Geodesic
Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 2, pp. 97-100

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A condition for a function of bounded type to belong to the Hardy class $H^1$ in terms of the Fourier transform of the boundary values of this function on $R^n$ is found. Applications of the obtained result to the theories of Hardy classes and of quasi-analytic classes of functions are given.
Mots-clés : Fourier transform
Keywords: quasi-analytic classes, pluriharmonic function, tubular domain. 
@article{FAA_2017_51_2_a10,
     author = {F. A. Shamoyan},
     title = {Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {97--100},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2017_51_2_a10/}
}
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F. A. Shamoyan. Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 2, pp. 97-100. http://geodesic.mathdoc.fr/item/FAA_2017_51_2_a10/