Localization and summability of multiple Hermite series

G. E. Karadzhov and E. E. El-Adad

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-14

Abstract:

The multiple Hermite series in R n 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. In particular, for these classes of functions the localization principle and summability on the Lebesgue set are established.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:521638

DOI: 10.1155/S0161171297000100

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