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Page 1792
Amer . Math . Soc . 9 , 373 – 395 ( 1908 ) . Existence and oscillation theorems for
a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259 - 270 (
1909 ) . 5 . Quantum mechanics and asymptotic series . Bull . Amer . Math . Soc .
Amer . Math . Soc . 9 , 373 – 395 ( 1908 ) . Existence and oscillation theorems for
a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259 - 270 (
1909 ) . 5 . Quantum mechanics and asymptotic series . Bull . Amer . Math . Soc .
Page 1817
Amer . J . Math . 76 , 831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The
least cluster point of the spectrum of boundary value problems . Amer . J . Math .
70 , 847 – 855 ( 1948 ) . 2 . The gaps in the essential spectra of wave equations .
Amer . J . Math . 76 , 831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The
least cluster point of the spectrum of boundary value problems . Amer . J . Math .
70 , 847 – 855 ( 1948 ) . 2 . The gaps in the essential spectra of wave equations .
Page 1844
Amer . Math . Soc . 46 , 482 - 489 ( 1940 ) . Munroe , M . E . 1 . Absolute and
unconditional convergence in Banach spaces . Duke Math . J . 13 , 351 - 365 (
1946 ) . Introduction to measure and integration . Addison Wesley , Cambridge ,
Mass .
Amer . Math . Soc . 46 , 482 - 489 ( 1940 ) . Munroe , M . E . 1 . Absolute and
unconditional convergence in Banach spaces . Duke Math . J . 13 , 351 - 365 (
1946 ) . Introduction to measure and integration . Addison Wesley , Cambridge ,
Mass .
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Contents
IX | 859 |
Eigenvalues and Eigenvectors | 903 |
Spectral Representation | 911 |
Copyright | |
15 other sections not shown
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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero