Almost Everywhere Summability of Fourier Integrals

1988 ◽  
Vol s2-38 (3) ◽  
pp. 513-524 ◽  
Author(s):  
Anthony Carbery ◽  
José L. Rubio de Francia ◽  
Luis Vega
Keyword(s):  
Almost Everywhere ◽  
Almost Everywhere Summability ◽  
Fourier Integrals

CONVERGENCE ALMOST EVERYWHERE OF CERTAIN PARTIAL SUMS OF FOURIER INTEGRALS

2003 ◽  
Vol 35 (02) ◽  
pp. 225-228 ◽  
Author(s):  
ANTHONY CARBERY ◽  
DIRK GORGES ◽  
GIANFRANCO MARLETTA ◽  
CHRISTOPH THIELE
Keyword(s):  
Partial Sums ◽  
Convergence Almost Everywhere ◽  
Almost Everywhere ◽  
Fourier Integrals

Almost everywhere convergence of Fourier integrals revisited

2013 ◽  
Vol 100 (6) ◽  
pp. 587-592
Author(s):  
Chang-Pao Chen ◽  
Elijah Liflyand
Keyword(s):  
Almost Everywhere Convergence ◽  
Almost Everywhere ◽  
Fourier Integrals

scholarly journals Maximal transference and summability of multilinear Fourier series

2006 ◽  
Vol 80 (1) ◽  
pp. 65-80 ◽  
Author(s):  
Loukas Grafakos ◽  
Petr Honzík
Keyword(s):  
Fourier Series ◽  
Multilinear Operators ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere ◽  
Transference Theorem ◽  
Almost Everywhere Summability

AbstractWe obtain a maximal transference theorem that relates almost everywhere convergence of multilinear Fourier series to boundedness of maximal multilinear operators. We use this and other recent results on transference and multilinear operators to deduce Lp and almost everywhere summability of certain m–linear Fourier series. We formulate conditions for the convergence of multilinear series and we investigate certain kinds of summation.

Almost everywhere convergence of Fourier integrals

1995 ◽  
Vol 64 (4) ◽  
pp. 333-336 ◽  
Author(s):  
Chang-Pao Chen ◽  
Chin-Cheng Lin
Keyword(s):  
Almost Everywhere Convergence ◽  
Almost Everywhere ◽  
Fourier Integrals
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