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WEYL MULTIPLIERS FOR MULTIPLE FOURIER SERIES
Mathematics of the USSR-Sbornik, 1972In this paper Weyl multipliers for a multiple series in an arbitrary orthogonal system are found when the multiplier is known for the one-dimensional series. Bibliography: 7 items.
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Fourier multipliers via twisted convolution
Proceedings of the American Mathematical SocietyWe study L p → L q L^p \to L^q boundedness of Fourier multipliers on R 2 n {\mathbb {R}}^{2n} , which arise as twisted convolution of functions from Lebesgue spaces.
Maity, Arup Kumar, Ratnakumar, P. K.
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Variation, homeomorphisms, and Fourier multipliers
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997An \(L^\infty\) function on the circle \(\mathbb T\) is called a Fourier multiplier in \(l^p\), \(1\leq p\leq \infty\), if the linear operator \(u\to (f\cdot \check u)^\wedge\) is bounded in \(l^p\). The class of all such multipliers is denoted by \(\mathbb M^p(\mathbb T)\).
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Concept, implementations and applications of Fourier ptychography
Nature Reviews Physics, 2021Guoan Zheng, Cheng Shen, Shaowei Jiang
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Wide-field, high-resolution Fourier ptychographic microscopy
Nature Photonics, 2013Guoan Zheng +2 more
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