id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-2076	Borisov, Denis	EIGENVALUE COLLISION FOR PT-SYMMETRIC WAVEGUIDE	2014	8	.pdf	application/pdf	4616	347	80	It follows from Lemma 2.3 that for each f ∈ L2(Ω) the function Rα(λ)f = (Hα − λ)−1f − P−2f (λ− λ0)2 − P−1f λ− λ0 solves the equation (Hα − Assume that the equation (Hα − λ0)φ0 = ψ0 (1.8) is solvable and there exists a solution satisfying (φ0, T ψ0)L2(Ω) 6= 0, (φ0, ψ0)L2(Ω) = 0. (1.9) Then eigenfunction ψ0 can be chosen so that (φ0, T ψ0)L2(Ω)	cache/ap-2076.pdf	txt/ap-2076.txt