Riesz type kernels over the ring of integers of a local field

DOI10.1006/JMAA.1997.5352zbMath0883.43011OpenAlexW1990097223MaRDI QIDQ1359595

Shijun Zheng

Publication date: 16 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5352

zbMATH Keywords

Riesz meansRiesz kernelsconvolution Riesz means operators

Mathematics Subject Classification ID

Analysis on specific locally compact and other abelian groups (43A70)

Related Items (7)

Shift-invariant subspaces an wavelets on local fields ⋮ Biorthogonal wavelets on local fields of positive characteristic ⋮ Unconditional bases of wavelets in local fields ⋮ Wavelet packets and wavelet frame packets on local fields of positive characteristic ⋮ Wavelet sets and scaling sets in local fields ⋮ Characterization of wavelets and MRA wavelets on local fields of positive characteristic ⋮ Cesàro summability of Hardy spaces on the ring of integers in a local field

Cites Work

• The derivatives and integrals of fractional order on \(a\)-adic groups
• Fractional Differentiation and Lipschitz Spaces on Local Fields
• Fourier Analysis on Local Fields. (MN-15)
• On the Walsh Functions
• On Approximation by Walsh Functions
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