Localization and summability of multiple Hermite series
1997 ◽
Vol 20
(1)
◽
pp. 61-74
Keyword(s):
The multiple Hermite series inRnare investigated by the Riesz summability method of orderα>(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 then-dimensional case. In particular, for these classes of functions the localization principle and summability on the Lebesgue set are established.
2003 ◽
Vol 55
(3)
◽
pp. 636-648
◽
Keyword(s):
Keyword(s):
1971 ◽
Vol 69
(1)
◽
pp. 99-106
◽
2020 ◽
Vol 26
◽
pp. 38
◽
Keyword(s):
2019 ◽
Vol 11
(2)
◽
pp. 251-263
1953 ◽
Vol 9
(1)
◽
pp. 28-34