On Local Property of |A|k Summability of Factored Fourier Series
β Scribed by M.A. Sarigol
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 212 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The paper deals with approximation properties of JAcoBI-FOURIER-expansions in dependence of smoothness properties of the treated functions. Such relations are wellknown for trigonometrical series, we refer to LEINDLER [6], [7], OSKOLKOV [9], SCHMEIS-SER and SICKEL [ll]. In the same way as in the pa
of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as
Let O O be the ring of integers in a local field K. We solve an open problem due Ε½ to M. H. Taibleson 1975, ''Math. Notes,'' Vol. 15, Princeton Univ. Press, Prince-. 1 Ε½ . ton, NJ : Suppose f g L O O . Does the Cesaro means of f converge to f almost `Ε½ p p . everywhere if K has characteristic zero?
For a closed subgroup H of a locally compact group G consider the property that the continuous positive definite functions on G which are identically one on H separate points in G"H from points in H. We prove a structure theorem for almost connected groups having this separation property for every c