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. We consider Fourier series of functions in L p (0, 2π; X) where X is a Banach space. In particular, we show that the Fourier series of each function in L p (0, 2π; X) converges unconditionally if and only if p = 2 and X is a Hilbert space. For operator-
Shangquan Bu, Wolfgang Arendt
core
Global maximal inequality to a class of oscillatory integrals. [PDF]
Xue Y, Niu Y.
europepmc +1 more source
Sharp weak-type inequalities for Fourier multipliers and second-order Riesz transforms
Osękowski Adam
doaj +1 more source
Approaching Bilinear Multipliers via a Functional Calculus. [PDF]
Wróbel B.
europepmc +1 more source
Bounds for spectral projectors on generic tori. [PDF]
Germain P, Rydin Myerson SL.
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Novel spore-forming species exhibiting intrinsic resistance to third- and fourth-generation cephalosporins and description of <i>Tigheibacillus jepli</i> gen. nov., sp. nov. [PDF]
Miliotis G +13 more
europepmc +1 more source
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Radial Fourier multipliers in high dimensions
Acta Mathematica, 2011Andreas Seeger, Fedor Nazarov
exaly
Oscillatory integrals and spherical harmonics
Duke Mathematical Journal, 1986Christopher D Sogge
exaly

