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We prove that there is a sequence of trigonometric polynomials with positive integer coefficients, which converges to zero almost everywhere. We also prove that there is a function f: ℝ… Click to show full abstract
We prove that there is a sequence of trigonometric polynomials with positive integer coefficients, which converges to zero almost everywhere. We also prove that there is a function f: ℝ → ℝ such that the sums of its shifts are dense in all real spaces Lp(ℝ) for 2 ≤ p < ∞ and also in the real space C0(R).
Keywords:
convergence zero;
sums shifts;
integer coefficients;
positive integer;
function
Journal Title: Analysis Mathematica
Year Published: 2018
Link to full text (if available)
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Journal Title: Analysis Mathematica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!