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Hilbert Space BackgroundSmall Eigen Values
The Pourier Transform Theorem
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Algebraic applied argument assert assume assumptions bounded bounded self-adjoint operator Chapter choose clear clearly closure compact consequence consider constant constructed contains continuous convergence Corollary corresponding defined definition denote dense described desired Differential dist easy Edited eigen values elements Equations equicontinuous evident exists fact Finally finite fixed follows Fourier further given gives Groups hand Hilbert space holds implies inequality inner product inverse Lebesgue Lemma Lemma 4a lies mapping measurable functions multiplicities non-decreasing non-negative Note obtain perturbation positive positive integer positive measure present problem Proceedings 1974 projection Proof properties proved recall repeated according result satisfy Similarly spectral resolution spectrum strong limit subsequence sufficiently large Suppose Te(t Theorem Theorem 3c Theory transform variables verify VIII zero