Abstract
Inspired by Men'shov's representation theorem, we prove that there exists a sequence { λ( n )} ⊂ ℝ ^ , λ( n )= n + o ( 1 ) , n ∈ ℤ , such that any measurable (complex valued) function f on ℝ can be represented as a sum of almost everywhere convergent trigonometric series ∑ n ∈ ℤ c n e i λ( n ) x . © 1999 Académie des Sciences/Éditions scientifiques et médicales Elsevier SAS
Full Text
Paper version not known
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call