Fourier series on the ring of integers in a 𝑝-series field
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Publication:5535840
DOI10.1090/S0002-9904-1967-11801-9zbMath0156.14701OpenAlexW2093839197MaRDI QIDQ5535840
Publication date: 1967
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9904-1967-11801-9
Related Items (13)
On the almost everywhere convergence of Fejér means of functions on the group of 2-adic integers ⋮ On the pointwise convergence of Cesàro means of two-variable functions with respect to unbounded Vilenkin systems ⋮ Cesàro means of integrable functions with respect to unbounded Vilenkin systems ⋮ Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups ⋮ Gibbs phenomenon for Fourier partial sums on \(\mathbb{Z}_p\) ⋮ Almost everywhere convergence of Fejér means of \(L^{1}\) functionson rarely unbounded Vilenkin groups ⋮ On the convergence and divergence behaviour of approximation processes in homogeneous Banach spaces ⋮ On the convergence and divergence behaviour of approximation processes in homogeneous Banach spaces ⋮ Fractional differentiation on the group of integers of a \(p\)-adic or \(p\)-series field ⋮ Harmonic analysis on \(n\)-dimensional vector spaces over local fields. III: Multipliers ⋮ Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic ⋮ Cesàro summability of Hardy spaces on the ring of integers in a local field ⋮ Non-Archimedean Koksma inequalities, variation, and Fourier analysis
Cites Work
- Hilbert transforms for the p-adic and p-series fields
- Special functions on locally compact fields
- Harmonic analysis on \(n\)-dimensional vector spaces over local fields. III: Multipliers
- On a class of complete orthonormal systems
- Capacities of Sets and Harmonic Analysis on the Group 2ω
- On the Walsh Functions
- CESARO SUMMABILITY OF WALSH-FOURIER SERIES
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