Sentence examples for be a lacunary sequence from inspiring English sources

Let θ be a lacunary sequence.

Let (theta= (k_{r})) be a lacunary sequence.

[7] Let θ = (k r ) be a lacunary sequence.

Definition 3.3 Let θ be a lacunary sequence.

Theorem 3.4 Let θ be a lacunary sequence.

Definition 1.5 Let θ = { k r } be a lacunary sequence.

Theorem 2.1 Let θ = ( k r ) be a lacunary sequence.

Then as is known, ({ a_{k}}_{kinmathbb{Z}}) is a lacunary sequence with lacunarity (a=2^{1/|varphi|_{L^{infty}(mathbb{R}_).

If θ = ( k r ) is a lacunary sequence and P r → ∞ as r → ∞, then θ ′ = ( P k r ) is a lacunary sequence, that is, P 0 = 0, 0 < P k r − 1 < P k r and H r = P k r − P k r − 1 → ∞ as r → ∞.

In his 2006 ICM invited address, Konyagin mentioned the following conjecture: if Snf stands for the n-th partial Fourier sum of f and {nj}j⊂N is a lacunary sequence, then Snjf is a.e.

If θ = { k r } is a lacunary sequence and sup k p k = H, then { A k } ∼ [ W N ] θ L ( p ) { B k } ⇒ { A k } ∼ W S θ L { B k }.