id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-445	Kumar, Devendra	Prolate Spheroidal Wavelet Coefficients, Frames and Double Infinite Matrices	2010	8	.pdf	application/pdf	2432	143	78	= ∫ ∞ −∞ ∑ n,κ φm(t − 2−mn)φm(t − 2−mκ)d t ×( ∫ ∞ −∞ f (y)φ̃m(y − 2−mκ)d y)φm(t − 2−mκ) = ∫ ∞ −∞ ∑ n,κ φm(t − 2−mn)φ̃m(y − 2−mκ)(φm(t (2) It is easy to show that the symmetrical kernel S(σ π (t − x)) is positive definite,so that from[1] we know that (2) has solutions in L2(−τ,τ) only for a discrete set of real positive values of λn,σ,τ say λ0,σ,τ ≥ λ1,σ,τ ≥ . . .	cache/ejpam-445.pdf	txt/ejpam-445.txt