id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-364	 Allahverdiev, Bilender P.; Tuna, Huseyin	Properties of the resolvent of singular q-Dirac operators	2020	13	.pdf	application/pdf	4318	301	83	For each non-real number λ, we have χq−n(x, λ)→ χ(x, λ) and∫ q−n 0 ‖χq−n(x, λ)‖2Edqx→ ∫ ∞ 0 ‖χ(x, λ)‖2Edqx, n→∞. 4 B. P. ALLAHVERDIEV, H. TUNA EJDE-2020/03 Putting Gq−n(x, t, λ) = { χq−n(x, λ)ϕT (t, λ), t ≤ x ϕ(x, λ)χTq−n(t, λ), t > x ( [χq−n1(x, λ)ϕ1(t, λ) χq−n1(x, λ)ϕ2(t, λ) χq−n2(x, λ)ϕ1(t, λ) χq−n2(x, λ)ϕ2(t, λ) ) , t ≤ x( ϕ1(x, λ)χq−n1(t, λ) ϕ1(x, λ)χq−n2(t, λ) ϕ2(x, λ)χq−n1(t, λ) ϕ2(x, λ)χq−n2(t, λ) ) , x < t, (3.6) we have (Rq−nf)(x, λ) = y(x, λ) = ∫ q−n 0 Gq−n(x, t, λ)f(t)dqt, λ ∈ C, (3.7) where y(x, λ) = ( y1(x, λ) y2(x, λ) ) and f(·) = ( f1(·) f2(·) ) ∈ H. λ µ Im{m(σ + iτ)}dσ, z = σ + iτ, τ > 0. (5.2) Proof.	cache/ejde-364.pdf	txt/ejde-364.txt