A Menšov type theorem
Volume 56 / 2002
Banach Center Publications 56 (2002), 81-93
MSC: Primary 42A20; Secondary 42A63.
DOI: 10.4064/bc56-0-7
Abstract
Any integrable function can be corrected, so that its Fourier series converges almost everywhere to the correct limit, by the addition of a measure whose singular support is small both in the algebraic and the Hausdorff sense.