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