Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3232

 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.] URI: http://hdl.handle.net/10525/3232 Appears in Collections: Preprints

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