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Title: Equisummability of multiple Hermite series
Authors: Karadzhov, G. E.
Keywords: Department of Differential Equations
Issue Date: Oct-1993
Publisher: Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
Citation: Preprint
Series/Report no.: 1993;12
Abstract: The multiple Hermite series in R^n are investigated by the Riesz summability method of order a > (n — l)/2. More precisely, locally uniform equisummability theorems for some classes of functions are proved and sharp sufficient conditions are given. Thus the classical Szegö results are improved and extended to the n-dimensional case. In particular, for these classes of functions the localization principle and the convergence on the Lebesgue set are established.
Description: [Karadzhov G. E.; Karadzhov Georgi Eremiev; Karadžov Georgi; Караджов Георги Е.]
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