Convergence of Fourier Series

By Jerrold E. Marsden, L. Sirovich, M. Golubitsky, W. Jäger. 2005

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Some Remarks on the Pointwise Sparse Domination (2019, unknown): “1] that for every interval I ⊂ R, ‖C(fχI)‖L1,∞(I) ≤ C|I|‖f‖Φ,I (this represents an elaborated version of Antonov’s theorem [2] on a.”
Carleson's convergence theorem for Dirichlet series (2003, unknown): “Carleson’s convergence theorem is a consequence of the following estimate of M, due to Hunt [11].”
Summability of Multi-Dimensional Trigonometric Fourier Series (2012, background): “[3] N. Y. Antonov.”
Uniform Bounds for the Bilinear Hilbert Transforms, II (2006, background): “where the L1 norm estimate above is a consequence of the Carleson-Hunt theorem [3], [10].”
The disc as a bilinear multiplier (2006, methodology): “in view of the Carleson-Hunt theorem [1], [6].”
A variation norm Carleson theorem (2009, background): “} . f Hunt [13] extended this result to L p ( T ) functions, for 1 < p < ∞ , and proved the inequality (cid:13)(cid:13) (cid:13)(cid:13) for all f ∈ L p ( T ); see also [10], [20], and [12] for other proofs of this fact.”