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The second eigen value problem
Hilbert Space BackgroundSmall Eigen Values 1 A perturbation problem
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Algebraic apply argument assertion assume assumptions Asymptotic Banach Spaces bounded self-adjoint operators Chapter Clearly closure compact Consequently consider consists constant constructed continuous Convergence Corollary defined definition denote dense easy Edité Edited eigen values elements Equations equicontinuous exists fact Finally finite fixed follows formula Fourier further given gives Groups hand Hilbert space holds implies inequality inner product inverse Lebesgue Lemma Lemma 2a linear mapping measurable functions multiplicities Note obtain operators on H perturbation point spectrum positive positive integer positive measure present problem Proceedings 1975 projection Proof prove real numbers recall result Se(t Séminaire sequence Similarly spectral resolution star-shaped strong limit subset sufficiently large Suppose Te(t Theorem 3a Theory transformation uniform variables verify VIII zero