Uniform boundedness of the Fourier partial sum operators on the weighted spaces of local fields.

Let $S_n f$ be the $n$th partial sum of the Fourier series of a function $f$ in $L^1(\D)$, where $\D$ is the ring of integers of a local field $K$. For $1

Keywords:

• Weighted space
• Laurent series
• Ring of integers
• Finite field
• Combinatorics
• Schauder basis
• Mathematics
• Fourier series
• Field (mathematics)
• Algebraic number field

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