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Page 6
... DEFICIENCY INDICES . In this chapter we ( 1 ) review the general classification theory for deficiency indices of ordinary symmetric ( formally self - adjoint ) differential expressions and ( 2 ) develop , from basic principles , the ...
... DEFICIENCY INDICES . In this chapter we ( 1 ) review the general classification theory for deficiency indices of ordinary symmetric ( formally self - adjoint ) differential expressions and ( 2 ) develop , from basic principles , the ...
Page 41
... Deficiencies: Trends in the Democratic Republic of Congo.” Paper presented at ... Deficiency and Undernutrition in the Republic of Congo.” Acta Tropica 97 (3): ... Indices and Indicators: 2018 Statistical Update—Briefing Note for Countries ...
... Deficiencies: Trends in the Democratic Republic of Congo.” Paper presented at ... Deficiency and Undernutrition in the Republic of Congo.” Acta Tropica 97 (3): ... Indices and Indicators: 2018 Statistical Update—Briefing Note for Countries ...
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... Deficiencies 21.7 % 15.9 % 16.2 % D Severe Deficiency Index 1.00 0.95 0.94 E. Percent Zero Deficiencies 8.4 % 8.0 % 12.2 % 2 7.93 7.47 6 8.55 12 6.78 1.29 1.29 12 1.24 0.99 28.6 % 12 19.7 % 19.5 % 14.6 % 131 1.14 0.86 2.9 % 13 4.9 % 4.9 ...
... Deficiencies 21.7 % 15.9 % 16.2 % D Severe Deficiency Index 1.00 0.95 0.94 E. Percent Zero Deficiencies 8.4 % 8.0 % 12.2 % 2 7.93 7.47 6 8.55 12 6.78 1.29 1.29 12 1.24 0.99 28.6 % 12 19.7 % 19.5 % 14.6 % 131 1.14 0.86 2.9 % 13 4.9 % 4.9 ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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A₁ adjoint extension adjoint operator algebra analytic B-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure coefficients compact operator complex numbers continuous function converges Corollary countably deficiency indices Definition denote dense eigenfunctions eigenvalues element equation essential spectrum Exercise exists f₁ finite dimensional follows from Lemma follows from Theorem formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator homomorphism identity inequality infinity integral interval kernel L₁ L₁(R L₂ L₂(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm operators in Hilbert orthogonal Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence shows solution spectral set spectral theorem square-integrable subset subspace Suppose T₁ T₂ theory To(t topology tr(T transform uniformly unique unitary vanishes vector zero