The method of pseudoanalytic continuation developed by E. M. Dyn’kin is extended to convex domains in ℂ d and used to give a constructive description of the Besov classes in such domains.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 416, 2013, pp. 136–174.
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Rotkevich, A.S. Constructive Description of the Besov Classes in Convex Domains in ℂ d . J Math Sci 202, 573–600 (2014). https://doi.org/10.1007/s10958-014-2064-z
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DOI: https://doi.org/10.1007/s10958-014-2064-z