Localization and summability of multiple Hermite series

The multiple Hermite series in Rn are investigated by the Riesz summability method of order α>(n−1)/2. More precisely, localization theorems for some classes of functions are proved and sharp sufficient conditions are given. Thus the classical Szegö results are extended to the n-dimensional case....

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Bibliographic Details
Main Authors: G. E. Karadzhov, E. E. El-Adad
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297000100