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Pointwise Convergence of Fourier Series
Author(s) -
Arias-De-Reyna J.
Publication year - 2002
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610701002824
Subject(s) - almost everywhere , pointwise convergence , function series , fourier series , mathematics , convergent series , pointwise , banach space , fourier transform , convergence (economics) , series (stratigraphy) , fourier inversion theorem , fourier analysis , alternating series , uniform convergence , pure mathematics , mathematical analysis , computer science , bandwidth (computing) , short time fourier transform , approx , power series , paleontology , economics , economic growth , operating system , computer network , biology
The problem of studying the largest rearrangement invariant space of functions with almost everywhere convergent Fourier series is considered. A quasi‐Banach space QA of functions is defined with almost everywhere convergent Fourier series that strictly contains Antonov and Soria's spaces ( L log L log log log L andB φ 1 * ( T ) ).
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